Least Common Multiple of 51/144, 80/396, 653/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/144, 80/396, 653/182 quickly i.e. 1332120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/144, 80/396, 653/182 is 1332120.

LCM(51/144, 80/396, 653/182) = 1332120

LCM of 51/144, 80/396, 653/182

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 51/144,80/396,653/182

Given numbers are 51/144,80/396,653/182

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 51,80,653

Least Common Multiple of Numerators i.e. LCM of 51,80,653 is 2664240.

GCF of Denominators means GCF of 144,396,182 as per the given fractions.

GCF of 144,396,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,80,653

LCM of Fractions 51/144,80/396,653/182 is 1332120

Given numbers has no common factors except 1. So, there LCM is their product i.e 2664240

Least Common Multiple of 51,80,653 with GCF Formula

Least Common Multiple of 51,80,653 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 51,80,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,80,653) = 1

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

GCF(51,80,653) x common factors =1 x 1 = 1

LCM(51,80,653) = ( 51 × 80 × 653 ) / 1

LCM(51,80,653) = 2664240 / 1

LCM(51,80,653) = 2664240


Lets's calculate GCF of 144,396,182

2 144, 396, 182
72, 198, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2664240/2

Therefore the LCM of Fractions 51/144,80/396,653/182 is 1332120

Greatest Common Factor of 144,396,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,396,182 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 144,396,182 . The biggest common factor number is the GCF number.
So the greatest common factor 144,396,182 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 51/144, 80/396, 653/182

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 51/144, 80/396, 653/182?

Answer: LCM of Numerators as per given numbers 51/144, 80/396, 653/182 is

LCM of Numerators i.e. for 51,80,653 is 2664240

GCF of denominators i.e. for 144,396,182 is 2.

Thus, LCM of Fractions is 1332120.Finally, LCM of Fractions for 51/144, 80/396, 653/182 is 1332120.