Least Common Multiple of 53/42, 14/164, 108/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/42, 14/164, 108/980 quickly i.e. 20034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/42, 14/164, 108/980 is 20034.

LCM(53/42, 14/164, 108/980) = 20034

LCM of 53/42, 14/164, 108/980

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 53/42,14/164,108/980

Given numbers are 53/42,14/164,108/980

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 53,14,108

Least Common Multiple of Numerators i.e. LCM of 53,14,108 is 40068.

GCF of Denominators means GCF of 42,164,980 as per the given fractions.

GCF of 42,164,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,14,108

LCM of Fractions 53/42,14/164,108/980 is 20034

2 53, 14, 108
53, 7, 54

∴ So the LCM of the given numbers is 2 x 53 x 7 x 54 = 40068

Least Common Multiple of 53,14,108 with GCF Formula

Least Common Multiple of 53,14,108 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 53,14,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,14,108) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,14,108) x common factors =1 x 2 = 2

LCM(53,14,108) = ( 53 × 14 × 108 ) / 2

LCM(53,14,108) = 80136 / 2

LCM(53,14,108) = 40068


Lets's calculate GCF of 42,164,980

2 42, 164, 980
21, 82, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40068/2

Therefore the LCM of Fractions 53/42,14/164,108/980 is 20034

Greatest Common Factor of 42,164,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,164,980 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 42,164,980 . The biggest common factor number is the GCF number.
So the greatest common factor 42,164,980 is 2.


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 53/42, 14/164, 108/980

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 53/42, 14/164, 108/980?

Answer: LCM of Numerators as per given numbers 53/42, 14/164, 108/980 is

LCM of Numerators i.e. for 53,14,108 is 40068

GCF of denominators i.e. for 42,164,980 is 2.

Thus, LCM of Fractions is 20034.Finally, LCM of Fractions for 53/42, 14/164, 108/980 is 20034.