Least Common Multiple of 120/51, 272/74, 677/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/51, 272/74, 677/339 quickly i.e. 2762160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/51, 272/74, 677/339 is 2762160.

LCM(120/51, 272/74, 677/339) = 2762160

LCM of 120/51, 272/74, 677/339

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 120/51,272/74,677/339

Given numbers are 120/51,272/74,677/339

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 120,272,677

Least Common Multiple of Numerators i.e. LCM of 120,272,677 is 2762160.

GCF of Denominators means GCF of 51,74,339 as per the given fractions.

GCF of 51,74,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,272,677

LCM of Fractions 120/51,272/74,677/339 is 2762160

2 120, 272, 677
2 60, 136, 677
2 30, 68, 677
15, 34, 677

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 34 x 677 = 2762160

Least Common Multiple of 120,272,677 with GCF Formula

Least Common Multiple of 120,272,677 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 120,272,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,272,677) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(120,272,677) x common factors =1 x 8 = 8

LCM(120,272,677) = ( 120 × 272 × 677 ) / 8

LCM(120,272,677) = 22097280 / 8

LCM(120,272,677) = 2762160


Lets's calculate GCF of 51,74,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2762160/1

Therefore the LCM of Fractions 120/51,272/74,677/339 is 2762160

Greatest Common Factor of 51,74,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,74,339 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 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 51,74,339 . The biggest common factor number is the GCF number.
So the greatest common factor 51,74,339 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 120/51, 272/74, 677/339

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 120/51, 272/74, 677/339?

Answer: LCM of Numerators as per given numbers 120/51, 272/74, 677/339 is

LCM of Numerators i.e. for 120,272,677 is 2762160

GCF of denominators i.e. for 51,74,339 is 1.

Thus, LCM of Fractions is 2762160.Finally, LCM of Fractions for 120/51, 272/74, 677/339 is 2762160.