Least Common Multiple of 2271/537, 4128/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2271/537, 4128/924 quickly i.e. 1041632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2271/537, 4128/924 is 1041632.

LCM(2271/537, 4128/924) = 1041632

LCM of 2271/537, 4128/924

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 2271/537,4128/924

Given numbers are 2271/537,4128/924

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 2271,4128

Least Common Multiple of Numerators i.e. LCM of 2271,4128 is 3124896.

GCF of Denominators means GCF of 537,924 as per the given fractions.

GCF of 537,924 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2271,4128

LCM of Fractions 2271/537,4128/924 is 1041632

3 2271, 4128
757, 1376

∴ So the LCM of the given numbers is 3 x 757 x 1376 = 3124896

Least Common Multiple of 2271,4128 with GCF Formula

Least Common Multiple of 2271,4128 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 2271,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2271,4128) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(2271,4128) x common factors =3 x 1 = 3

LCM(2271,4128) = ( 2271 × 4128 ) / 3

LCM(2271,4128) = 9374688 / 3

LCM(2271,4128) = 3124896


Lets's calculate GCF of 537,924

3 537, 924
179, 308

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3124896/3

Therefore the LCM of Fractions 2271/537,4128/924 is 1041632

Greatest Common Factor of 537,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,924 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 537,924 . The biggest common factor number is the GCF number.
So the greatest common factor 537,924 is 3.


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 2271/537, 4128/924

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 2271/537, 4128/924?

Answer: LCM of Numerators as per given numbers 2271/537, 4128/924 is

LCM of Numerators i.e. for 2271,4128 is 3124896

GCF of denominators i.e. for 537,924 is 3.

Thus, LCM of Fractions is 1041632.Finally, LCM of Fractions for 2271/537, 4128/924 is 1041632.