Least Common Multiple of 76/777, 290/200, 552/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/777, 290/200, 552/339 quickly i.e. 1520760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/777, 290/200, 552/339 is 1520760.

LCM(76/777, 290/200, 552/339) = 1520760

LCM of 76/777, 290/200, 552/339

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 76/777,290/200,552/339

Given numbers are 76/777,290/200,552/339

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 76,290,552

Least Common Multiple of Numerators i.e. LCM of 76,290,552 is 1520760.

GCF of Denominators means GCF of 777,200,339 as per the given fractions.

GCF of 777,200,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,290,552

LCM of Fractions 76/777,290/200,552/339 is 1520760

2 76, 290, 552
2 38, 145, 276
19, 145, 138

∴ So the LCM of the given numbers is 2 x 2 x 19 x 145 x 138 = 1520760

Least Common Multiple of 76,290,552 with GCF Formula

Least Common Multiple of 76,290,552 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 76,290,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,290,552) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,290,552) x common factors =2 x 4 = 8

LCM(76,290,552) = ( 76 × 290 × 552 ) / 8

LCM(76,290,552) = 12166080 / 8

LCM(76,290,552) = 1520760


Lets's calculate GCF of 777,200,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520760/1

Therefore the LCM of Fractions 76/777,290/200,552/339 is 1520760

Greatest Common Factor of 777,200,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,200,339 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

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 777,200,339 . The biggest common factor number is the GCF number.
So the greatest common factor 777,200,339 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 76/777, 290/200, 552/339

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 76/777, 290/200, 552/339?

Answer: LCM of Numerators as per given numbers 76/777, 290/200, 552/339 is

LCM of Numerators i.e. for 76,290,552 is 1520760

GCF of denominators i.e. for 777,200,339 is 1.

Thus, LCM of Fractions is 1520760.Finally, LCM of Fractions for 76/777, 290/200, 552/339 is 1520760.