Least Common Multiple of 81/826, 60/649, 927/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/826, 60/649, 927/348 quickly i.e. 166860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/826, 60/649, 927/348 is 166860.

LCM(81/826, 60/649, 927/348) = 166860

LCM of 81/826, 60/649, 927/348

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 81/826,60/649,927/348

Given numbers are 81/826,60/649,927/348

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 81,60,927

Least Common Multiple of Numerators i.e. LCM of 81,60,927 is 166860.

GCF of Denominators means GCF of 826,649,348 as per the given fractions.

GCF of 826,649,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,60,927

LCM of Fractions 81/826,60/649,927/348 is 166860

3 81, 60, 927
3 27, 20, 309
9, 20, 103

∴ So the LCM of the given numbers is 3 x 3 x 9 x 20 x 103 = 166860

Least Common Multiple of 81,60,927 with GCF Formula

Least Common Multiple of 81,60,927 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 81,60,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,60,927) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(81,60,927) x common factors =3 x 9 = 27

LCM(81,60,927) = ( 81 × 60 × 927 ) / 27

LCM(81,60,927) = 4505220 / 27

LCM(81,60,927) = 166860


Lets's calculate GCF of 826,649,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166860/1

Therefore the LCM of Fractions 81/826,60/649,927/348 is 166860

Greatest Common Factor of 826,649,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,649,348 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 826,649,348 . The biggest common factor number is the GCF number.
So the greatest common factor 826,649,348 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/826, 60/649, 927/348

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 81/826, 60/649, 927/348?

Answer: LCM of Numerators as per given numbers 81/826, 60/649, 927/348 is

LCM of Numerators i.e. for 81,60,927 is 166860

GCF of denominators i.e. for 826,649,348 is 1.

Thus, LCM of Fractions is 166860.Finally, LCM of Fractions for 81/826, 60/649, 927/348 is 166860.