Least Common Multiple of 23/36, 128/88, 256/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/36, 128/88, 256/868 quickly i.e. 1472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/36, 128/88, 256/868 is 1472.

LCM(23/36, 128/88, 256/868) = 1472

LCM of 23/36, 128/88, 256/868

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 23/36,128/88,256/868

Given numbers are 23/36,128/88,256/868

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 23,128,256

Least Common Multiple of Numerators i.e. LCM of 23,128,256 is 5888.

GCF of Denominators means GCF of 36,88,868 as per the given fractions.

GCF of 36,88,868 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,128,256

LCM of Fractions 23/36,128/88,256/868 is 1472

2 23, 128, 256
2 23, 64, 128
2 23, 32, 64
2 23, 16, 32
2 23, 8, 16
2 23, 4, 8
2 23, 2, 4
23, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23 x 1 x 2 = 5888

Least Common Multiple of 23,128,256 with GCF Formula

Least Common Multiple of 23,128,256 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 23,128,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,128,256) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(23,128,256) x common factors =1 x 128 = 128

LCM(23,128,256) = ( 23 × 128 × 256 ) / 128

LCM(23,128,256) = 753664 / 128

LCM(23,128,256) = 5888


Lets's calculate GCF of 36,88,868

2 36, 88, 868
2 18, 44, 434
9, 22, 217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5888/4

Therefore the LCM of Fractions 23/36,128/88,256/868 is 1472

Greatest Common Factor of 36,88,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,88,868 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 36,88,868 . The biggest common factor number is the GCF number.
So the greatest common factor 36,88,868 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 23/36, 128/88, 256/868

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 23/36, 128/88, 256/868?

Answer: LCM of Numerators as per given numbers 23/36, 128/88, 256/868 is

LCM of Numerators i.e. for 23,128,256 is 5888

GCF of denominators i.e. for 36,88,868 is 4.

Thus, LCM of Fractions is 1472.Finally, LCM of Fractions for 23/36, 128/88, 256/868 is 1472.