What is the HCF of 15 and 60?

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What is the HCF of 15 and 60?

The greatest factor on the two lists that they have in common is the HCF of 15 and 60. Therefore, the HCF of 15 and 60 is 15.

What is the HCF and LCM of 180?

The LCM is 180. The prime factorization of 180 is 5 x 3 x 3 x 2 x 2. The HCF is 15.

How do you find the third number when HCF and LCM are given?

Since the HCF is 3, the 3rd Number has to be 3x. LCM of 15 and 36 is 180 and the LCM of 15, 36 and 3x is 720, which is 4 times 180. If we just take x as 4, the LCM of 15, 36 and 3*4=12, the CM is still 180 and therefore x has to be 16 or more (we will see what more is).

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How do you find two numbers then HCF and LCM are given?

Relationship between H.C.F. and L.C.M.

  1. or, L.C.M. = First Number×Second NumberH.C.F.
  2. or, L.C.M. = Product of Two Given NumbersH.C.F.
  3. or, H.C.F. = Product of Two Given NumbersL.C.M.

What is the HCF and LCM of 15 and 60?

FAQs on LCM of 15 and 60 The LCM of 15 and 60 is 60. To find the LCM of 15 and 60, we need to find the multiples of 15 and 60 (multiples of 15 = 15, 30, 45, 60; multiples of 60 = 60, 120, 180, 240) and choose the smallest multiple that is exactly divisible by 15 and 60, i.e., 60.

What is the HCF of 15?

Factors of 15 (Fifteen) = 1, 3, 5 and 15. Factors of 35 (Thirty five) = 1, 5, 7 and 35. Therefore, common factor of 15 (Fifteen) and 35 (Thirty five) = 1 and 5. Highest common factor (H.C.F) of 15 (Fifteen) and 35 (Thirty five) = 5.

How do you find the LCM of 180?

Steps to find LCM

  1. Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
  2. Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
  3. LCM = 2 × 2 × 3 × 3 × 5.
  4. LCM = 180.

What is the HCF of 180?

To calculate the highest common factor (HCF) of 180, 252 and 324, we need to factor each number (factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180; factors of 252 = 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252; factors of 324 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54.

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How do you find HCF when given LCM and product?

For example: Find HCF and LCM of 9 and 12. And verify HCF × LCM = Product of the two numbers. Product of 9 and 12 = 9 x 12 = 108. Hence, HCF(9, 12) × LCM(9, 12) = Product of 9 and 12.

What is the formula of HCF and LCM?

The LCM and HCF formula of two numbers ‘a’ and ‘b’ is given as HCF × LCM = a × b. In other words, the formula of HCF and LCM states that the product of any two numbers is equal to the product of their HCF and LCM.

What is HCF and LCM in math?

HCF stands for highest common factor and LCM stands for least common multiple. HCF is the greatest integer that divides all numbers and LCM is the smallest integer that is divisible by all numbers. The above HCF finder lets you find HCF and LCM with more convenience than getting engaged in lengthy calculations.

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How to find the HCF of more than 3 numbers?

The above steps can also be used to find the HCF of more than 3 numbers. Example: Find the HCF of 144 and 160 by division method. Since 160>144, so the dividend will be 160 and the divisor will be 144. Hence, we can see here 16 is the highest number which divides 160 and 144. To calculate the LCM of two numbers 60 and 45.

What is the HCF and lcm of 25 35 and 45?

From the above expression, we can say 5 is the only common factor for all the three numbers. Therefore, 5 is the HCF of 25, 35 and 45. Example: Find the Least Common Multiple of 36 and 44. Solution: Given, two numbers 36 and 44. Let us find out the LCM, by division method.

How to find the HCF of 12 and 15 using factors?

HCF can be calculated using: 1. Factoring Example: Find the HCF of 12 and 15 using factors? Step 1: List all of the factors of the given numbers. Step 2: Circle or highlight the numbers that exist in the factors of both numbers and should be the greatest common number.