Least Common Multiple of 431/123, 900/564, 714/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/123, 900/564, 714/298 quickly i.e. 46160100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/123, 900/564, 714/298 is 46160100.

LCM(431/123, 900/564, 714/298) = 46160100

LCM of 431/123, 900/564, 714/298

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 431/123,900/564,714/298

Given numbers are 431/123,900/564,714/298

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 431,900,714

Least Common Multiple of Numerators i.e. LCM of 431,900,714 is 46160100.

GCF of Denominators means GCF of 123,564,298 as per the given fractions.

GCF of 123,564,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,900,714

LCM of Fractions 431/123,900/564,714/298 is 46160100

2 431, 900, 714
3 431, 450, 357
431, 150, 119

∴ So the LCM of the given numbers is 2 x 3 x 431 x 150 x 119 = 46160100

Least Common Multiple of 431,900,714 with GCF Formula

Least Common Multiple of 431,900,714 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 431,900,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,900,714) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(431,900,714) x common factors =1 x 6 = 6

LCM(431,900,714) = ( 431 × 900 × 714 ) / 6

LCM(431,900,714) = 276960600 / 6

LCM(431,900,714) = 46160100


Lets's calculate GCF of 123,564,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46160100/1

Therefore the LCM of Fractions 431/123,900/564,714/298 is 46160100

Greatest Common Factor of 123,564,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,564,298 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 123,564,298 . The biggest common factor number is the GCF number.
So the greatest common factor 123,564,298 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 431/123, 900/564, 714/298

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 431/123, 900/564, 714/298?

Answer: LCM of Numerators as per given numbers 431/123, 900/564, 714/298 is

LCM of Numerators i.e. for 431,900,714 is 46160100

GCF of denominators i.e. for 123,564,298 is 1.

Thus, LCM of Fractions is 46160100.Finally, LCM of Fractions for 431/123, 900/564, 714/298 is 46160100.