Least Common Multiple of 79/177, 780/156, 278/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/177, 780/156, 278/698 quickly i.e. 8565180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/177, 780/156, 278/698 is 8565180.

LCM(79/177, 780/156, 278/698) = 8565180

LCM of 79/177, 780/156, 278/698

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 79/177,780/156,278/698

Given numbers are 79/177,780/156,278/698

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 79,780,278

Least Common Multiple of Numerators i.e. LCM of 79,780,278 is 8565180.

GCF of Denominators means GCF of 177,156,698 as per the given fractions.

GCF of 177,156,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,780,278

LCM of Fractions 79/177,780/156,278/698 is 8565180

2 79, 780, 278
79, 390, 139

∴ So the LCM of the given numbers is 2 x 79 x 390 x 139 = 8565180

Least Common Multiple of 79,780,278 with GCF Formula

Least Common Multiple of 79,780,278 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 79,780,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,780,278) = 1

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

GCF(79,780,278) x common factors =1 x 2 = 2

LCM(79,780,278) = ( 79 × 780 × 278 ) / 2

LCM(79,780,278) = 17130360 / 2

LCM(79,780,278) = 8565180


Lets's calculate GCF of 177,156,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8565180/1

Therefore the LCM of Fractions 79/177,780/156,278/698 is 8565180

Greatest Common Factor of 177,156,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,156,698 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

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

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 177,156,698 . The biggest common factor number is the GCF number.
So the greatest common factor 177,156,698 is 1.


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 79/177, 780/156, 278/698

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 79/177, 780/156, 278/698?

Answer: LCM of Numerators as per given numbers 79/177, 780/156, 278/698 is

LCM of Numerators i.e. for 79,780,278 is 8565180

GCF of denominators i.e. for 177,156,698 is 1.

Thus, LCM of Fractions is 8565180.Finally, LCM of Fractions for 79/177, 780/156, 278/698 is 8565180.