Least Common Multiple of 23/158, 20/677, 135/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/158, 20/677, 135/960 quickly i.e. 12420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/158, 20/677, 135/960 is 12420.

LCM(23/158, 20/677, 135/960) = 12420

LCM of 23/158, 20/677, 135/960

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 23/158,20/677,135/960

Given numbers are 23/158,20/677,135/960

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 23,20,135

Least Common Multiple of Numerators i.e. LCM of 23,20,135 is 12420.

GCF of Denominators means GCF of 158,677,960 as per the given fractions.

GCF of 158,677,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,20,135

LCM of Fractions 23/158,20/677,135/960 is 12420

5 23, 20, 135
23, 4, 27

∴ So the LCM of the given numbers is 5 x 23 x 4 x 27 = 12420

Least Common Multiple of 23,20,135 with GCF Formula

Least Common Multiple of 23,20,135 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 23,20,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,20,135) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,20,135) x common factors =1 x 5 = 5

LCM(23,20,135) = ( 23 × 20 × 135 ) / 5

LCM(23,20,135) = 62100 / 5

LCM(23,20,135) = 12420


Lets's calculate GCF of 158,677,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/1

Therefore the LCM of Fractions 23/158,20/677,135/960 is 12420

Greatest Common Factor of 158,677,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,677,960 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 158,677,960 . The biggest common factor number is the GCF number.
So the greatest common factor 158,677,960 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/158, 20/677, 135/960

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 23/158, 20/677, 135/960?

Answer: LCM of Numerators as per given numbers 23/158, 20/677, 135/960 is

LCM of Numerators i.e. for 23,20,135 is 12420

GCF of denominators i.e. for 158,677,960 is 1.

Thus, LCM of Fractions is 12420.Finally, LCM of Fractions for 23/158, 20/677, 135/960 is 12420.