Least Common Multiple of 81/468, 969/572, 748/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/468, 969/572, 748/766 quickly i.e. 575586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/468, 969/572, 748/766 is 575586.

LCM(81/468, 969/572, 748/766) = 575586

LCM of 81/468, 969/572, 748/766

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 81/468,969/572,748/766

Given numbers are 81/468,969/572,748/766

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 81,969,748

Least Common Multiple of Numerators i.e. LCM of 81,969,748 is 1151172.

GCF of Denominators means GCF of 468,572,766 as per the given fractions.

GCF of 468,572,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,969,748

LCM of Fractions 81/468,969/572,748/766 is 575586

3 81, 969, 748
17 27, 323, 748
27, 19, 44

∴ So the LCM of the given numbers is 3 x 17 x 27 x 19 x 44 = 1151172

Least Common Multiple of 81,969,748 with GCF Formula

Least Common Multiple of 81,969,748 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 81,969,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,969,748) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(81,969,748) x common factors =1 x 51 = 51

LCM(81,969,748) = ( 81 × 969 × 748 ) / 51

LCM(81,969,748) = 58709772 / 51

LCM(81,969,748) = 1151172


Lets's calculate GCF of 468,572,766

2 468, 572, 766
234, 286, 383

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1151172/2

Therefore the LCM of Fractions 81/468,969/572,748/766 is 575586

Greatest Common Factor of 468,572,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,572,766 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 468,572,766 . The biggest common factor number is the GCF number.
So the greatest common factor 468,572,766 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 81/468, 969/572, 748/766

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 81/468, 969/572, 748/766?

Answer: LCM of Numerators as per given numbers 81/468, 969/572, 748/766 is

LCM of Numerators i.e. for 81,969,748 is 1151172

GCF of denominators i.e. for 468,572,766 is 2.

Thus, LCM of Fractions is 575586.Finally, LCM of Fractions for 81/468, 969/572, 748/766 is 575586.