Least Common Multiple of 80/51, 79/74, 677/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/51, 79/74, 677/152 quickly i.e. 4278640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/51, 79/74, 677/152 is 4278640.

LCM(80/51, 79/74, 677/152) = 4278640

LCM of 80/51, 79/74, 677/152

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 80/51,79/74,677/152

Given numbers are 80/51,79/74,677/152

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 80,79,677

Least Common Multiple of Numerators i.e. LCM of 80,79,677 is 4278640.

GCF of Denominators means GCF of 51,74,152 as per the given fractions.

GCF of 51,74,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,79,677

LCM of Fractions 80/51,79/74,677/152 is 4278640

Given numbers has no common factors except 1. So, there LCM is their product i.e 4278640

Least Common Multiple of 80,79,677 with GCF Formula

Least Common Multiple of 80,79,677 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 80,79,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,79,677) = 1

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

GCF(80,79,677) x common factors =1 x 1 = 1

LCM(80,79,677) = ( 80 × 79 × 677 ) / 1

LCM(80,79,677) = 4278640 / 1

LCM(80,79,677) = 4278640


Lets's calculate GCF of 51,74,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4278640/1

Therefore the LCM of Fractions 80/51,79/74,677/152 is 4278640

Greatest Common Factor of 51,74,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,74,152 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 51,74,152 . The biggest common factor number is the GCF number.
So the greatest common factor 51,74,152 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 80/51, 79/74, 677/152

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 80/51, 79/74, 677/152?

Answer: LCM of Numerators as per given numbers 80/51, 79/74, 677/152 is

LCM of Numerators i.e. for 80,79,677 is 4278640

GCF of denominators i.e. for 51,74,152 is 1.

Thus, LCM of Fractions is 4278640.Finally, LCM of Fractions for 80/51, 79/74, 677/152 is 4278640.