Mixed

How do you find the number if the LCM is given?

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How do you find the number if the LCM is given?

Find the LCM using the prime factors method

  1. Find the prime factorization of each number.
  2. Write each number as a product of primes, matching primes vertically when possible.
  3. Bring down the primes in each column.
  4. Multiply the factors to get the LCM.

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

First we need to find the highest common factor (H.C.F.) of 15 and 18 which is 3. Then we need to find the lowest common multiple (L.C.M.) of 15 and 18 which is 90. Therefore, product of H.C.F. and L.C.M. of 15 and 18 = product of 15 and 18.

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How do you find the sum of numbers when HCF and LCM?

The two numbers can be (9 and 252)or (18 and 126) or (36 and 63). In these pairs, we have to reject the pair 18 and 126 as their HCF is 18 and not 9 given to us. Hence the two numbers are 9 and 252 or 36 and 63. The sum of the two numbers can be 9+252 = 261 or 36+63 = 99.

Which pair of numbers has an LCM of 18?

When we overlap these two restrictions, we see that the only values common to both sets are 6 and 18. So our possible pairs are (6,6) , (6,18) , or (18,18) . But wait—only one of these pairs has both an LCM of 18 and a GCF of 6. That pair is (6,18) .

How do you find the product of HCF and LCM?

The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.

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What is the formula to find LCM of two numbers?

The product of HCF of two numbers and the LCM of two numbers is equal to the product of two numbers. Therefore, the formula to find LCM of two numbers is, LCM of two numbers = product of two numbers ÷ HCF of two numbers.

What is the product of two numbers with product 120?

L.C.M of two numbers × H.C.F of two numbers = Product of the two number The L.C.M of two numbers with product 120 and H.C.F is 20. Given that HCF (306, 657) = 9, find LCM (306, 657). The product of two numbers is 120.

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.

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