Least Common Multiple of 81/352, 498/914, 877/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/352, 498/914, 877/472 quickly i.e. 5896071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/352, 498/914, 877/472 is 5896071.

LCM(81/352, 498/914, 877/472) = 5896071

LCM of 81/352, 498/914, 877/472

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 81/352,498/914,877/472

Given numbers are 81/352,498/914,877/472

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 81,498,877

Least Common Multiple of Numerators i.e. LCM of 81,498,877 is 11792142.

GCF of Denominators means GCF of 352,914,472 as per the given fractions.

GCF of 352,914,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,498,877

LCM of Fractions 81/352,498/914,877/472 is 5896071

3 81, 498, 877
27, 166, 877

∴ So the LCM of the given numbers is 3 x 27 x 166 x 877 = 11792142

Least Common Multiple of 81,498,877 with GCF Formula

Least Common Multiple of 81,498,877 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 81,498,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,498,877) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,498,877) x common factors =1 x 3 = 3

LCM(81,498,877) = ( 81 × 498 × 877 ) / 3

LCM(81,498,877) = 35376426 / 3

LCM(81,498,877) = 11792142


Lets's calculate GCF of 352,914,472

2 352, 914, 472
176, 457, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11792142/2

Therefore the LCM of Fractions 81/352,498/914,877/472 is 5896071

Greatest Common Factor of 352,914,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,914,472 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 352,914,472 . The biggest common factor number is the GCF number.
So the greatest common factor 352,914,472 is 2.


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 81/352, 498/914, 877/472

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 81/352, 498/914, 877/472?

Answer: LCM of Numerators as per given numbers 81/352, 498/914, 877/472 is

LCM of Numerators i.e. for 81,498,877 is 11792142

GCF of denominators i.e. for 352,914,472 is 2.

Thus, LCM of Fractions is 5896071.Finally, LCM of Fractions for 81/352, 498/914, 877/472 is 5896071.