Least Common Multiple of 579/277, 398/222, 332/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/277, 398/222, 332/968 quickly i.e. 38253372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/277, 398/222, 332/968 is 38253372.

LCM(579/277, 398/222, 332/968) = 38253372

LCM of 579/277, 398/222, 332/968

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 579/277,398/222,332/968

Given numbers are 579/277,398/222,332/968

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 579,398,332

Least Common Multiple of Numerators i.e. LCM of 579,398,332 is 38253372.

GCF of Denominators means GCF of 277,222,968 as per the given fractions.

GCF of 277,222,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,398,332

LCM of Fractions 579/277,398/222,332/968 is 38253372

2 579, 398, 332
579, 199, 166

∴ So the LCM of the given numbers is 2 x 579 x 199 x 166 = 38253372

Least Common Multiple of 579,398,332 with GCF Formula

Least Common Multiple of 579,398,332 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 579,398,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,398,332) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(579,398,332) x common factors =1 x 2 = 2

LCM(579,398,332) = ( 579 × 398 × 332 ) / 2

LCM(579,398,332) = 76506744 / 2

LCM(579,398,332) = 38253372


Lets's calculate GCF of 277,222,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38253372/1

Therefore the LCM of Fractions 579/277,398/222,332/968 is 38253372

Greatest Common Factor of 277,222,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,222,968 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 277,222,968 . The biggest common factor number is the GCF number.
So the greatest common factor 277,222,968 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 579/277, 398/222, 332/968

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 579/277, 398/222, 332/968?

Answer: LCM of Numerators as per given numbers 579/277, 398/222, 332/968 is

LCM of Numerators i.e. for 579,398,332 is 38253372

GCF of denominators i.e. for 277,222,968 is 1.

Thus, LCM of Fractions is 38253372.Finally, LCM of Fractions for 579/277, 398/222, 332/968 is 38253372.