Least Common Multiple of 40/537, 5692/8340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/537, 5692/8340 quickly i.e. 56920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/537, 5692/8340 is 56920/3.

LCM(40/537, 5692/8340) = 56920/3

LCM of 40/537, 5692/8340

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 40/537,5692/8340

Given numbers are 40/537,5692/8340

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 40,5692

Least Common Multiple of Numerators i.e. LCM of 40,5692 is 56920.

GCF of Denominators means GCF of 537,8340 as per the given fractions.

GCF of 537,8340 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,5692

LCM of Fractions 40/537,5692/8340 is 56920/3

2 40, 5692
2 20, 2846
10, 1423

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1423 = 56920

Least Common Multiple of 40,5692 with GCF Formula

Least Common Multiple of 40,5692 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 40,5692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,5692) = 4

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

GCF(40,5692) x common factors =4 x 1 = 4

LCM(40,5692) = ( 40 × 5692 ) / 4

LCM(40,5692) = 227680 / 4

LCM(40,5692) = 56920


Lets's calculate GCF of 537,8340

3 537, 8340
179, 2780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56920/3

Therefore the LCM of Fractions 40/537,5692/8340 is 56920/3

Greatest Common Factor of 537,8340 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,8340 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 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340

Greatest Common Factor

We found the factors 537,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 537,8340 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 40/537, 5692/8340

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 40/537, 5692/8340?

Answer: LCM of Numerators as per given numbers 40/537, 5692/8340 is

LCM of Numerators i.e. for 40,5692 is 56920

GCF of denominators i.e. for 537,8340 is 3.

Thus, LCM of Fractions is 56920/3.Finally, LCM of Fractions for 40/537, 5692/8340 is 56920/3.