Least Common Multiple of 56/508, 6137/4469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/508, 6137/4469 quickly i.e. 343672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/508, 6137/4469 is 343672.

LCM(56/508, 6137/4469) = 343672

LCM of 56/508, 6137/4469

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 56/508,6137/4469

Given numbers are 56/508,6137/4469

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 56,6137

Least Common Multiple of Numerators i.e. LCM of 56,6137 is 343672.

GCF of Denominators means GCF of 508,4469 as per the given fractions.

GCF of 508,4469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,6137

LCM of Fractions 56/508,6137/4469 is 343672

Given numbers has no common factors except 1. So, there LCM is their product i.e 343672

Least Common Multiple of 56,6137 with GCF Formula

Least Common Multiple of 56,6137 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 56,6137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,6137) = 1

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

GCF(56,6137) x common factors =1 x 1 = 1

LCM(56,6137) = ( 56 × 6137 ) / 1

LCM(56,6137) = 343672 / 1

LCM(56,6137) = 343672


Lets's calculate GCF of 508,4469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343672/1

Therefore the LCM of Fractions 56/508,6137/4469 is 343672

Greatest Common Factor of 508,4469 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,4469 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 4469

List of positive integer factors of 4469 that divides 4469 without a remainder.

1,41,109,4469

Greatest Common Factor

We found the factors 508,4469 . The biggest common factor number is the GCF number.
So the greatest common factor 508,4469 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/508, 6137/4469

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 56/508, 6137/4469?

Answer: LCM of Numerators as per given numbers 56/508, 6137/4469 is

LCM of Numerators i.e. for 56,6137 is 343672

GCF of denominators i.e. for 508,4469 is 1.

Thus, LCM of Fractions is 343672.Finally, LCM of Fractions for 56/508, 6137/4469 is 343672.