Least Common Multiple of 728/376, 9358/1979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/376, 9358/1979 quickly i.e. 3406312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/376, 9358/1979 is 3406312.

LCM(728/376, 9358/1979) = 3406312

LCM of 728/376, 9358/1979

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 728/376,9358/1979

Given numbers are 728/376,9358/1979

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 728,9358

Least Common Multiple of Numerators i.e. LCM of 728,9358 is 3406312.

GCF of Denominators means GCF of 376,1979 as per the given fractions.

GCF of 376,1979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,9358

LCM of Fractions 728/376,9358/1979 is 3406312

2 728, 9358
364, 4679

∴ So the LCM of the given numbers is 2 x 364 x 4679 = 3406312

Least Common Multiple of 728,9358 with GCF Formula

Least Common Multiple of 728,9358 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 728,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,9358) = 2

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

GCF(728,9358) x common factors =2 x 1 = 2

LCM(728,9358) = ( 728 × 9358 ) / 2

LCM(728,9358) = 6812624 / 2

LCM(728,9358) = 3406312


Lets's calculate GCF of 376,1979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3406312/1

Therefore the LCM of Fractions 728/376,9358/1979 is 3406312

Greatest Common Factor of 376,1979 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,1979 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 1979

List of positive integer factors of 1979 that divides 1979 without a remainder.

1,1979

Greatest Common Factor

We found the factors 376,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 376,1979 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 728/376, 9358/1979

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 728/376, 9358/1979?

Answer: LCM of Numerators as per given numbers 728/376, 9358/1979 is

LCM of Numerators i.e. for 728,9358 is 3406312

GCF of denominators i.e. for 376,1979 is 1.

Thus, LCM of Fractions is 3406312.Finally, LCM of Fractions for 728/376, 9358/1979 is 3406312.