Least Common Multiple of 22/76, 74/44, 96/64, 87/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/76, 74/44, 96/64, 87/200 quickly i.e. 283272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/76, 74/44, 96/64, 87/200 is 283272.

LCM(22/76, 74/44, 96/64, 87/200) = 283272

LCM of 22/76, 74/44, 96/64, 87/200

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 22/76,74/44,96/64,87/200

Given numbers are 22/76,74/44,96/64,87/200

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 22,74,96,87

Least Common Multiple of Numerators i.e. LCM of 22,74,96,87 is 1133088.

GCF of Denominators means GCF of 76,44,64,200 as per the given fractions.

GCF of 76,44,64,200 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,74,96,87

LCM of Fractions 22/76,74/44,96/64,87/200 is 283272

2 22, 74, 96, 87
3 11, 37, 48, 87
11, 37, 16, 29

∴ So the LCM of the given numbers is 2 x 3 x 11 x 37 x 16 x 29 = 1133088

Least Common Multiple of 22,74,96,87 with GCF Formula

Least Common Multiple of 22,74,96,87 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 22,74,96,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,74,96,87) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(22,74,96,87) x common factors =1 x 12 = 12

LCM(22,74,96,87) = ( 22 × 74 × 96 × 87 ) / 12

LCM(22,74,96,87) = 13597056 / 12

LCM(22,74,96,87) = 1133088


Lets's calculate GCF of 76,44,64,200

2 76, 44, 64, 200
2 38, 22, 32, 100
19, 11, 16, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133088/4

Therefore the LCM of Fractions 22/76,74/44,96/64,87/200 is 283272

Greatest Common Factor of 76,44,64,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,44,64,200 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 76,44,64,200 . The biggest common factor number is the GCF number.
So the greatest common factor 76,44,64,200 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 22/76, 74/44, 96/64, 87/200

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 22/76, 74/44, 96/64, 87/200?

Answer: LCM of Numerators as per given numbers 22/76, 74/44, 96/64, 87/200 is

LCM of Numerators i.e. for 22,74,96,87 is 1133088

GCF of denominators i.e. for 76,44,64,200 is 4.

Thus, LCM of Fractions is 283272.Finally, LCM of Fractions for 22/76, 74/44, 96/64, 87/200 is 283272.