Least Common Multiple of 648/87, 457/8272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 648/87, 457/8272 quickly i.e. 296136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/87, 457/8272 is 296136.

LCM(648/87, 457/8272) = 296136

LCM of 648/87, 457/8272

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 648/87,457/8272

Given numbers are 648/87,457/8272

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 648,457

Least Common Multiple of Numerators i.e. LCM of 648,457 is 296136.

GCF of Denominators means GCF of 87,8272 as per the given fractions.

GCF of 87,8272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,457

LCM of Fractions 648/87,457/8272 is 296136

Given numbers has no common factors except 1. So, there LCM is their product i.e 296136

Least Common Multiple of 648,457 with GCF Formula

Least Common Multiple of 648,457 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 648,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,457) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(648,457) x common factors =1 x 1 = 1

LCM(648,457) = ( 648 × 457 ) / 1

LCM(648,457) = 296136 / 1

LCM(648,457) = 296136


Lets's calculate GCF of 87,8272

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296136/1

Therefore the LCM of Fractions 648/87,457/8272 is 296136

Greatest Common Factor of 87,8272 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,8272 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Greatest Common Factor

We found the factors 87,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8272 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 648/87, 457/8272

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 648/87, 457/8272?

Answer: LCM of Numerators as per given numbers 648/87, 457/8272 is

LCM of Numerators i.e. for 648,457 is 296136

GCF of denominators i.e. for 87,8272 is 1.

Thus, LCM of Fractions is 296136.Finally, LCM of Fractions for 648/87, 457/8272 is 296136.