Least Common Multiple of 688/31, 522/69, 118/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/31, 522/69, 118/375 quickly i.e. 10594512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/31, 522/69, 118/375 is 10594512.

LCM(688/31, 522/69, 118/375) = 10594512

LCM of 688/31, 522/69, 118/375

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 688/31,522/69,118/375

Given numbers are 688/31,522/69,118/375

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 688,522,118

Least Common Multiple of Numerators i.e. LCM of 688,522,118 is 10594512.

GCF of Denominators means GCF of 31,69,375 as per the given fractions.

GCF of 31,69,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,522,118

LCM of Fractions 688/31,522/69,118/375 is 10594512

2 688, 522, 118
344, 261, 59

∴ So the LCM of the given numbers is 2 x 344 x 261 x 59 = 10594512

Least Common Multiple of 688,522,118 with GCF Formula

Least Common Multiple of 688,522,118 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 688,522,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,522,118) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(688,522,118) x common factors =2 x 2 = 4

LCM(688,522,118) = ( 688 × 522 × 118 ) / 4

LCM(688,522,118) = 42378048 / 4

LCM(688,522,118) = 10594512


Lets's calculate GCF of 31,69,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10594512/1

Therefore the LCM of Fractions 688/31,522/69,118/375 is 10594512

Greatest Common Factor of 31,69,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,69,375 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 31,69,375 . The biggest common factor number is the GCF number.
So the greatest common factor 31,69,375 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 688/31, 522/69, 118/375

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 688/31, 522/69, 118/375?

Answer: LCM of Numerators as per given numbers 688/31, 522/69, 118/375 is

LCM of Numerators i.e. for 688,522,118 is 10594512

GCF of denominators i.e. for 31,69,375 is 1.

Thus, LCM of Fractions is 10594512.Finally, LCM of Fractions for 688/31, 522/69, 118/375 is 10594512.