Least Common Multiple of 77/367, 309/596, 779/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/367, 309/596, 779/390 quickly i.e. 18534747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/367, 309/596, 779/390 is 18534747.

LCM(77/367, 309/596, 779/390) = 18534747

LCM of 77/367, 309/596, 779/390

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 77/367,309/596,779/390

Given numbers are 77/367,309/596,779/390

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 77,309,779

Least Common Multiple of Numerators i.e. LCM of 77,309,779 is 18534747.

GCF of Denominators means GCF of 367,596,390 as per the given fractions.

GCF of 367,596,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,309,779

LCM of Fractions 77/367,309/596,779/390 is 18534747

Given numbers has no common factors except 1. So, there LCM is their product i.e 18534747

Least Common Multiple of 77,309,779 with GCF Formula

Least Common Multiple of 77,309,779 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 77,309,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,309,779) = 1

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

GCF(77,309,779) x common factors =1 x 1 = 1

LCM(77,309,779) = ( 77 × 309 × 779 ) / 1

LCM(77,309,779) = 18534747 / 1

LCM(77,309,779) = 18534747


Lets's calculate GCF of 367,596,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18534747/1

Therefore the LCM of Fractions 77/367,309/596,779/390 is 18534747

Greatest Common Factor of 367,596,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,596,390 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 367,596,390 . The biggest common factor number is the GCF number.
So the greatest common factor 367,596,390 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 77/367, 309/596, 779/390

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 77/367, 309/596, 779/390?

Answer: LCM of Numerators as per given numbers 77/367, 309/596, 779/390 is

LCM of Numerators i.e. for 77,309,779 is 18534747

GCF of denominators i.e. for 367,596,390 is 1.

Thus, LCM of Fractions is 18534747.Finally, LCM of Fractions for 77/367, 309/596, 779/390 is 18534747.