Least Common Multiple of 758/642, 794/887, 220/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/642, 794/887, 220/974 quickly i.e. 33101860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/642, 794/887, 220/974 is 33101860.

LCM(758/642, 794/887, 220/974) = 33101860

LCM of 758/642, 794/887, 220/974

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 758/642,794/887,220/974

Given numbers are 758/642,794/887,220/974

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 758,794,220

Least Common Multiple of Numerators i.e. LCM of 758,794,220 is 33101860.

GCF of Denominators means GCF of 642,887,974 as per the given fractions.

GCF of 642,887,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,794,220

LCM of Fractions 758/642,794/887,220/974 is 33101860

2 758, 794, 220
379, 397, 110

∴ So the LCM of the given numbers is 2 x 379 x 397 x 110 = 33101860

Least Common Multiple of 758,794,220 with GCF Formula

Least Common Multiple of 758,794,220 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 758,794,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,794,220) = 2

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

GCF(758,794,220) x common factors =2 x 2 = 4

LCM(758,794,220) = ( 758 × 794 × 220 ) / 4

LCM(758,794,220) = 132407440 / 4

LCM(758,794,220) = 33101860


Lets's calculate GCF of 642,887,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33101860/1

Therefore the LCM of Fractions 758/642,794/887,220/974 is 33101860

Greatest Common Factor of 642,887,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,887,974 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 642,887,974 . The biggest common factor number is the GCF number.
So the greatest common factor 642,887,974 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 758/642, 794/887, 220/974

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 758/642, 794/887, 220/974?

Answer: LCM of Numerators as per given numbers 758/642, 794/887, 220/974 is

LCM of Numerators i.e. for 758,794,220 is 33101860

GCF of denominators i.e. for 642,887,974 is 1.

Thus, LCM of Fractions is 33101860.Finally, LCM of Fractions for 758/642, 794/887, 220/974 is 33101860.