Least Common Multiple of 89/256, 32/694, 132/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/256, 32/694, 132/468 quickly i.e. 46992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/256, 32/694, 132/468 is 46992.

LCM(89/256, 32/694, 132/468) = 46992

LCM of 89/256, 32/694, 132/468

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 89/256,32/694,132/468

Given numbers are 89/256,32/694,132/468

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 89,32,132

Least Common Multiple of Numerators i.e. LCM of 89,32,132 is 93984.

GCF of Denominators means GCF of 256,694,468 as per the given fractions.

GCF of 256,694,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,32,132

LCM of Fractions 89/256,32/694,132/468 is 46992

2 89, 32, 132
2 89, 16, 66
89, 8, 33

∴ So the LCM of the given numbers is 2 x 2 x 89 x 8 x 33 = 93984

Least Common Multiple of 89,32,132 with GCF Formula

Least Common Multiple of 89,32,132 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 89,32,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,32,132) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(89,32,132) x common factors =1 x 4 = 4

LCM(89,32,132) = ( 89 × 32 × 132 ) / 4

LCM(89,32,132) = 375936 / 4

LCM(89,32,132) = 93984


Lets's calculate GCF of 256,694,468

2 256, 694, 468
128, 347, 234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93984/2

Therefore the LCM of Fractions 89/256,32/694,132/468 is 46992

Greatest Common Factor of 256,694,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,694,468 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 256,694,468 . The biggest common factor number is the GCF number.
So the greatest common factor 256,694,468 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 89/256, 32/694, 132/468

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 89/256, 32/694, 132/468?

Answer: LCM of Numerators as per given numbers 89/256, 32/694, 132/468 is

LCM of Numerators i.e. for 89,32,132 is 93984

GCF of denominators i.e. for 256,694,468 is 2.

Thus, LCM of Fractions is 46992.Finally, LCM of Fractions for 89/256, 32/694, 132/468 is 46992.