Least Common Multiple of 81/989, 60/128, 246/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/989, 60/128, 246/858 quickly i.e. 66420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/989, 60/128, 246/858 is 66420.

LCM(81/989, 60/128, 246/858) = 66420

LCM of 81/989, 60/128, 246/858

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 81/989,60/128,246/858

Given numbers are 81/989,60/128,246/858

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 81,60,246

Least Common Multiple of Numerators i.e. LCM of 81,60,246 is 66420.

GCF of Denominators means GCF of 989,128,858 as per the given fractions.

GCF of 989,128,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,60,246

LCM of Fractions 81/989,60/128,246/858 is 66420

2 81, 60, 246
3 81, 30, 123
27, 10, 41

∴ So the LCM of the given numbers is 2 x 3 x 27 x 10 x 41 = 66420

Least Common Multiple of 81,60,246 with GCF Formula

Least Common Multiple of 81,60,246 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 81,60,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,60,246) = 3

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

GCF(81,60,246) x common factors =3 x 6 = 18

LCM(81,60,246) = ( 81 × 60 × 246 ) / 18

LCM(81,60,246) = 1195560 / 18

LCM(81,60,246) = 66420


Lets's calculate GCF of 989,128,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66420/1

Therefore the LCM of Fractions 81/989,60/128,246/858 is 66420

Greatest Common Factor of 989,128,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,128,858 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 989,128,858 . The biggest common factor number is the GCF number.
So the greatest common factor 989,128,858 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/989, 60/128, 246/858

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 81/989, 60/128, 246/858?

Answer: LCM of Numerators as per given numbers 81/989, 60/128, 246/858 is

LCM of Numerators i.e. for 81,60,246 is 66420

GCF of denominators i.e. for 989,128,858 is 1.

Thus, LCM of Fractions is 66420.Finally, LCM of Fractions for 81/989, 60/128, 246/858 is 66420.