Least Common Multiple of 402/520, 1340/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/520, 1340/136 quickly i.e. 4020/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/520, 1340/136 is 4020/8.

LCM(402/520, 1340/136) = 4020/8

LCM of 402/520, 1340/136

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 402/520,1340/136

Given numbers are 402/520,1340/136

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 402,1340

Least Common Multiple of Numerators i.e. LCM of 402,1340 is 4020.

GCF of Denominators means GCF of 520,136 as per the given fractions.

GCF of 520,136 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,1340

LCM of Fractions 402/520,1340/136 is 4020/8

2 402, 1340
67 201, 670
3, 10

∴ So the LCM of the given numbers is 2 x 67 x 3 x 10 = 4020

Least Common Multiple of 402,1340 with GCF Formula

Least Common Multiple of 402,1340 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 402,1340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,1340) = 134

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

GCF(402,1340) x common factors =134 x 1 = 134

LCM(402,1340) = ( 402 × 1340 ) / 134

LCM(402,1340) = 538680 / 134

LCM(402,1340) = 4020


Lets's calculate GCF of 520,136

2 520, 136
2 260, 68
2 130, 34
65, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4020/8

Therefore the LCM of Fractions 402/520,1340/136 is 4020/8

Greatest Common Factor of 520,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,136 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 520,136 . The biggest common factor number is the GCF number.
So the greatest common factor 520,136 is 8.


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 402/520, 1340/136

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 402/520, 1340/136?

Answer: LCM of Numerators as per given numbers 402/520, 1340/136 is

LCM of Numerators i.e. for 402,1340 is 4020

GCF of denominators i.e. for 520,136 is 8.

Thus, LCM of Fractions is 4020/8.Finally, LCM of Fractions for 402/520, 1340/136 is 4020/8.