Least Common Multiple of 625/72, 359/5388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/72, 359/5388 quickly i.e. 224375/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/72, 359/5388 is 224375/12.

LCM(625/72, 359/5388) = 224375/12

LCM of 625/72, 359/5388

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 625/72,359/5388

Given numbers are 625/72,359/5388

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 625,359

Least Common Multiple of Numerators i.e. LCM of 625,359 is 224375.

GCF of Denominators means GCF of 72,5388 as per the given fractions.

GCF of 72,5388 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,359

LCM of Fractions 625/72,359/5388 is 224375/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 224375

Least Common Multiple of 625,359 with GCF Formula

Least Common Multiple of 625,359 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 625,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,359) = 1

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

GCF(625,359) x common factors =1 x 1 = 1

LCM(625,359) = ( 625 × 359 ) / 1

LCM(625,359) = 224375 / 1

LCM(625,359) = 224375


Lets's calculate GCF of 72,5388

2 72, 5388
2 36, 2694
3 18, 1347
6, 449

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224375/12

Therefore the LCM of Fractions 625/72,359/5388 is 224375/12

Greatest Common Factor of 72,5388 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5388 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1,2,3,4,6,12,449,898,1347,1796,2694,5388

Greatest Common Factor

We found the factors 72,5388 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5388 is 12.


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 625/72, 359/5388

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 625/72, 359/5388?

Answer: LCM of Numerators as per given numbers 625/72, 359/5388 is

LCM of Numerators i.e. for 625,359 is 224375

GCF of denominators i.e. for 72,5388 is 12.

Thus, LCM of Fractions is 224375/12.Finally, LCM of Fractions for 625/72, 359/5388 is 224375/12.