Least Common Multiple of 79/637, 75/852, 142/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/637, 75/852, 142/180 quickly i.e. 841350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/637, 75/852, 142/180 is 841350.

LCM(79/637, 75/852, 142/180) = 841350

LCM of 79/637, 75/852, 142/180

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 79/637,75/852,142/180

Given numbers are 79/637,75/852,142/180

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 79,75,142

Least Common Multiple of Numerators i.e. LCM of 79,75,142 is 841350.

GCF of Denominators means GCF of 637,852,180 as per the given fractions.

GCF of 637,852,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,75,142

LCM of Fractions 79/637,75/852,142/180 is 841350

Given numbers has no common factors except 1. So, there LCM is their product i.e 841350

Least Common Multiple of 79,75,142 with GCF Formula

Least Common Multiple of 79,75,142 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 79,75,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,75,142) = 1

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

GCF(79,75,142) x common factors =1 x 1 = 1

LCM(79,75,142) = ( 79 × 75 × 142 ) / 1

LCM(79,75,142) = 841350 / 1

LCM(79,75,142) = 841350


Lets's calculate GCF of 637,852,180

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841350/1

Therefore the LCM of Fractions 79/637,75/852,142/180 is 841350

Greatest Common Factor of 637,852,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,852,180 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 637,852,180 . The biggest common factor number is the GCF number.
So the greatest common factor 637,852,180 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/637, 75/852, 142/180

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 79/637, 75/852, 142/180?

Answer: LCM of Numerators as per given numbers 79/637, 75/852, 142/180 is

LCM of Numerators i.e. for 79,75,142 is 841350

GCF of denominators i.e. for 637,852,180 is 1.

Thus, LCM of Fractions is 841350.Finally, LCM of Fractions for 79/637, 75/852, 142/180 is 841350.