Least Common Multiple of 436/60, 540/7120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/60, 540/7120 quickly i.e. 2943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/60, 540/7120 is 2943.

LCM(436/60, 540/7120) = 2943

LCM of 436/60, 540/7120

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 436/60,540/7120

Given numbers are 436/60,540/7120

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 436,540

Least Common Multiple of Numerators i.e. LCM of 436,540 is 58860.

GCF of Denominators means GCF of 60,7120 as per the given fractions.

GCF of 60,7120 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,540

LCM of Fractions 436/60,540/7120 is 2943

2 436, 540
2 218, 270
109, 135

∴ So the LCM of the given numbers is 2 x 2 x 109 x 135 = 58860

Least Common Multiple of 436,540 with GCF Formula

Least Common Multiple of 436,540 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 436,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,540) = 4

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

GCF(436,540) x common factors =4 x 1 = 4

LCM(436,540) = ( 436 × 540 ) / 4

LCM(436,540) = 235440 / 4

LCM(436,540) = 58860


Lets's calculate GCF of 60,7120

2 60, 7120
2 30, 3560
5 15, 1780
3, 356

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58860/20

Therefore the LCM of Fractions 436/60,540/7120 is 2943

Greatest Common Factor of 60,7120 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,7120 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120

Greatest Common Factor

We found the factors 60,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 60,7120 is 20.


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 436/60, 540/7120

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 436/60, 540/7120?

Answer: LCM of Numerators as per given numbers 436/60, 540/7120 is

LCM of Numerators i.e. for 436,540 is 58860

GCF of denominators i.e. for 60,7120 is 20.

Thus, LCM of Fractions is 2943.Finally, LCM of Fractions for 436/60, 540/7120 is 2943.