Least Common Multiple of 22/292, 96/374, 583/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/292, 96/374, 583/618 quickly i.e. 27984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/292, 96/374, 583/618 is 27984.

LCM(22/292, 96/374, 583/618) = 27984

LCM of 22/292, 96/374, 583/618

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 22/292,96/374,583/618

Given numbers are 22/292,96/374,583/618

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 22,96,583

Least Common Multiple of Numerators i.e. LCM of 22,96,583 is 55968.

GCF of Denominators means GCF of 292,374,618 as per the given fractions.

GCF of 292,374,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,96,583

LCM of Fractions 22/292,96/374,583/618 is 27984

2 22, 96, 583
11 11, 48, 583
1, 48, 53

∴ So the LCM of the given numbers is 2 x 11 x 1 x 48 x 53 = 55968

Least Common Multiple of 22,96,583 with GCF Formula

Least Common Multiple of 22,96,583 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 22,96,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,96,583) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,96,583) x common factors =1 x 22 = 22

LCM(22,96,583) = ( 22 × 96 × 583 ) / 22

LCM(22,96,583) = 1231296 / 22

LCM(22,96,583) = 55968


Lets's calculate GCF of 292,374,618

2 292, 374, 618
146, 187, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55968/2

Therefore the LCM of Fractions 22/292,96/374,583/618 is 27984

Greatest Common Factor of 292,374,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,374,618 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 292,374,618 . The biggest common factor number is the GCF number.
So the greatest common factor 292,374,618 is 2.


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 22/292, 96/374, 583/618

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 22/292, 96/374, 583/618?

Answer: LCM of Numerators as per given numbers 22/292, 96/374, 583/618 is

LCM of Numerators i.e. for 22,96,583 is 55968

GCF of denominators i.e. for 292,374,618 is 2.

Thus, LCM of Fractions is 27984.Finally, LCM of Fractions for 22/292, 96/374, 583/618 is 27984.