Least Common Multiple of 400/604, 779/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/604, 779/328 quickly i.e. 77900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/604, 779/328 is 77900.

LCM(400/604, 779/328) = 77900

LCM of 400/604, 779/328

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 400/604,779/328

Given numbers are 400/604,779/328

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 400,779

Least Common Multiple of Numerators i.e. LCM of 400,779 is 311600.

GCF of Denominators means GCF of 604,328 as per the given fractions.

GCF of 604,328 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,779

LCM of Fractions 400/604,779/328 is 77900

Given numbers has no common factors except 1. So, there LCM is their product i.e 311600

Least Common Multiple of 400,779 with GCF Formula

Least Common Multiple of 400,779 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 400,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,779) = 1

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

GCF(400,779) x common factors =1 x 1 = 1

LCM(400,779) = ( 400 × 779 ) / 1

LCM(400,779) = 311600 / 1

LCM(400,779) = 311600


Lets's calculate GCF of 604,328

2 604, 328
2 302, 164
151, 82

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311600/4

Therefore the LCM of Fractions 400/604,779/328 is 77900

Greatest Common Factor of 604,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,328 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 604,328 . The biggest common factor number is the GCF number.
So the greatest common factor 604,328 is 4.


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 400/604, 779/328

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 400/604, 779/328?

Answer: LCM of Numerators as per given numbers 400/604, 779/328 is

LCM of Numerators i.e. for 400,779 is 311600

GCF of denominators i.e. for 604,328 is 4.

Thus, LCM of Fractions is 77900.Finally, LCM of Fractions for 400/604, 779/328 is 77900.