Least Common Multiple of 64/121, 51/674, 431/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/121, 51/674, 431/138 quickly i.e. 1406784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/121, 51/674, 431/138 is 1406784.

LCM(64/121, 51/674, 431/138) = 1406784

LCM of 64/121, 51/674, 431/138

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 64/121,51/674,431/138

Given numbers are 64/121,51/674,431/138

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 64,51,431

Least Common Multiple of Numerators i.e. LCM of 64,51,431 is 1406784.

GCF of Denominators means GCF of 121,674,138 as per the given fractions.

GCF of 121,674,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,51,431

LCM of Fractions 64/121,51/674,431/138 is 1406784

Given numbers has no common factors except 1. So, there LCM is their product i.e 1406784

Least Common Multiple of 64,51,431 with GCF Formula

Least Common Multiple of 64,51,431 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 64,51,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,51,431) = 1

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

GCF(64,51,431) x common factors =1 x 1 = 1

LCM(64,51,431) = ( 64 × 51 × 431 ) / 1

LCM(64,51,431) = 1406784 / 1

LCM(64,51,431) = 1406784


Lets's calculate GCF of 121,674,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406784/1

Therefore the LCM of Fractions 64/121,51/674,431/138 is 1406784

Greatest Common Factor of 121,674,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,674,138 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 121,674,138 . The biggest common factor number is the GCF number.
So the greatest common factor 121,674,138 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 64/121, 51/674, 431/138

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 64/121, 51/674, 431/138?

Answer: LCM of Numerators as per given numbers 64/121, 51/674, 431/138 is

LCM of Numerators i.e. for 64,51,431 is 1406784

GCF of denominators i.e. for 121,674,138 is 1.

Thus, LCM of Fractions is 1406784.Finally, LCM of Fractions for 64/121, 51/674, 431/138 is 1406784.