Least Common Multiple of 23/36, 240/93, 876/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/36, 240/93, 876/150 quickly i.e. 134320 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, 240/93, 876/150 is 134320.

LCM(23/36, 240/93, 876/150) = 134320

LCM of 23/36, 240/93, 876/150

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 23/36,240/93,876/150

Given numbers are 23/36,240/93,876/150

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 23,240,876

Least Common Multiple of Numerators i.e. LCM of 23,240,876 is 402960.

GCF of Denominators means GCF of 36,93,150 as per the given fractions.

GCF of 36,93,150 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,240,876

LCM of Fractions 23/36,240/93,876/150 is 134320

2 23, 240, 876
2 23, 120, 438
3 23, 60, 219
23, 20, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 20 x 73 = 402960

Least Common Multiple of 23,240,876 with GCF Formula

Least Common Multiple of 23,240,876 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 23,240,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,240,876) = 1

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

GCF(23,240,876) x common factors =1 x 12 = 12

LCM(23,240,876) = ( 23 × 240 × 876 ) / 12

LCM(23,240,876) = 4835520 / 12

LCM(23,240,876) = 402960


Lets's calculate GCF of 36,93,150

3 36, 93, 150
12, 31, 50

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402960/3

Therefore the LCM of Fractions 23/36,240/93,876/150 is 134320

Greatest Common Factor of 36,93,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,93,150 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 36,93,150 . The biggest common factor number is the GCF number.
So the greatest common factor 36,93,150 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/36, 240/93, 876/150

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, 240/93, 876/150?

Answer: LCM of Numerators as per given numbers 23/36, 240/93, 876/150 is

LCM of Numerators i.e. for 23,240,876 is 402960

GCF of denominators i.e. for 36,93,150 is 3.

Thus, LCM of Fractions is 134320.Finally, LCM of Fractions for 23/36, 240/93, 876/150 is 134320.