Least Common Multiple of 53/252, 11/178, 402/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/252, 11/178, 402/150 quickly i.e. 117183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/252, 11/178, 402/150 is 117183.

LCM(53/252, 11/178, 402/150) = 117183

LCM of 53/252, 11/178, 402/150

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 53/252,11/178,402/150

Given numbers are 53/252,11/178,402/150

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 53,11,402

Least Common Multiple of Numerators i.e. LCM of 53,11,402 is 234366.

GCF of Denominators means GCF of 252,178,150 as per the given fractions.

GCF of 252,178,150 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,11,402

LCM of Fractions 53/252,11/178,402/150 is 117183

Given numbers has no common factors except 1. So, there LCM is their product i.e 234366

Least Common Multiple of 53,11,402 with GCF Formula

Least Common Multiple of 53,11,402 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 53,11,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,11,402) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,11,402) x common factors =1 x 1 = 1

LCM(53,11,402) = ( 53 × 11 × 402 ) / 1

LCM(53,11,402) = 234366 / 1

LCM(53,11,402) = 234366


Lets's calculate GCF of 252,178,150

2 252, 178, 150
126, 89, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234366/2

Therefore the LCM of Fractions 53/252,11/178,402/150 is 117183

Greatest Common Factor of 252,178,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,178,150 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

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 252,178,150 . The biggest common factor number is the GCF number.
So the greatest common factor 252,178,150 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 53/252, 11/178, 402/150

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 53/252, 11/178, 402/150?

Answer: LCM of Numerators as per given numbers 53/252, 11/178, 402/150 is

LCM of Numerators i.e. for 53,11,402 is 234366

GCF of denominators i.e. for 252,178,150 is 2.

Thus, LCM of Fractions is 117183.Finally, LCM of Fractions for 53/252, 11/178, 402/150 is 117183.