Least Common Multiple of 53/404, 35/984, 296/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/404, 35/984, 296/156 quickly i.e. 137270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/404, 35/984, 296/156 is 137270.

LCM(53/404, 35/984, 296/156) = 137270

LCM of 53/404, 35/984, 296/156

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 53/404,35/984,296/156

Given numbers are 53/404,35/984,296/156

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 53,35,296

Least Common Multiple of Numerators i.e. LCM of 53,35,296 is 549080.

GCF of Denominators means GCF of 404,984,156 as per the given fractions.

GCF of 404,984,156 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,35,296

LCM of Fractions 53/404,35/984,296/156 is 137270

Given numbers has no common factors except 1. So, there LCM is their product i.e 549080

Least Common Multiple of 53,35,296 with GCF Formula

Least Common Multiple of 53,35,296 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 53,35,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,35,296) = 1

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

GCF(53,35,296) x common factors =1 x 1 = 1

LCM(53,35,296) = ( 53 × 35 × 296 ) / 1

LCM(53,35,296) = 549080 / 1

LCM(53,35,296) = 549080


Lets's calculate GCF of 404,984,156

2 404, 984, 156
2 202, 492, 78
101, 246, 39

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549080/4

Therefore the LCM of Fractions 53/404,35/984,296/156 is 137270

Greatest Common Factor of 404,984,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,984,156 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 404,984,156 . The biggest common factor number is the GCF number.
So the greatest common factor 404,984,156 is 4.


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 53/404, 35/984, 296/156

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 53/404, 35/984, 296/156?

Answer: LCM of Numerators as per given numbers 53/404, 35/984, 296/156 is

LCM of Numerators i.e. for 53,35,296 is 549080

GCF of denominators i.e. for 404,984,156 is 4.

Thus, LCM of Fractions is 137270.Finally, LCM of Fractions for 53/404, 35/984, 296/156 is 137270.