Least Common Multiple of 84/976, 537/162, 252/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/976, 537/162, 252/880 quickly i.e. 22554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/976, 537/162, 252/880 is 22554.

LCM(84/976, 537/162, 252/880) = 22554

LCM of 84/976, 537/162, 252/880

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 84/976,537/162,252/880

Given numbers are 84/976,537/162,252/880

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 84,537,252

Least Common Multiple of Numerators i.e. LCM of 84,537,252 is 45108.

GCF of Denominators means GCF of 976,162,880 as per the given fractions.

GCF of 976,162,880 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,537,252

LCM of Fractions 84/976,537/162,252/880 is 22554

2 84, 537, 252
2 42, 537, 126
3 21, 537, 63
7 7, 179, 21
1, 179, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 179 x 3 = 45108

Least Common Multiple of 84,537,252 with GCF Formula

Least Common Multiple of 84,537,252 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 84,537,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,537,252) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(84,537,252) x common factors =3 x 84 = 252

LCM(84,537,252) = ( 84 × 537 × 252 ) / 252

LCM(84,537,252) = 11367216 / 252

LCM(84,537,252) = 45108


Lets's calculate GCF of 976,162,880

2 976, 162, 880
488, 81, 440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45108/2

Therefore the LCM of Fractions 84/976,537/162,252/880 is 22554

Greatest Common Factor of 976,162,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,162,880 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 976,162,880 . The biggest common factor number is the GCF number.
So the greatest common factor 976,162,880 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 84/976, 537/162, 252/880

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 84/976, 537/162, 252/880?

Answer: LCM of Numerators as per given numbers 84/976, 537/162, 252/880 is

LCM of Numerators i.e. for 84,537,252 is 45108

GCF of denominators i.e. for 976,162,880 is 2.

Thus, LCM of Fractions is 22554.Finally, LCM of Fractions for 84/976, 537/162, 252/880 is 22554.