Least Common Multiple of 889/731, 644/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 889/731, 644/320 quickly i.e. 81788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/731, 644/320 is 81788.

LCM(889/731, 644/320) = 81788

LCM of 889/731, 644/320

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 889/731,644/320

Given numbers are 889/731,644/320

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 889,644

Least Common Multiple of Numerators i.e. LCM of 889,644 is 81788.

GCF of Denominators means GCF of 731,320 as per the given fractions.

GCF of 731,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,644

LCM of Fractions 889/731,644/320 is 81788

7 889, 644
127, 92

∴ So the LCM of the given numbers is 7 x 127 x 92 = 81788

Least Common Multiple of 889,644 with GCF Formula

Least Common Multiple of 889,644 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 889,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,644) = 7

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

GCF(889,644) x common factors =7 x 1 = 7

LCM(889,644) = ( 889 × 644 ) / 7

LCM(889,644) = 572516 / 7

LCM(889,644) = 81788


Lets's calculate GCF of 731,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81788/1

Therefore the LCM of Fractions 889/731,644/320 is 81788

Greatest Common Factor of 731,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,320 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 731,320 . The biggest common factor number is the GCF number.
So the greatest common factor 731,320 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 889/731, 644/320

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 889/731, 644/320?

Answer: LCM of Numerators as per given numbers 889/731, 644/320 is

LCM of Numerators i.e. for 889,644 is 81788

GCF of denominators i.e. for 731,320 is 1.

Thus, LCM of Fractions is 81788.Finally, LCM of Fractions for 889/731, 644/320 is 81788.