Least Common Multiple of 152/37, 380/66, 179/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/37, 380/66, 179/559 quickly i.e. 136040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/37, 380/66, 179/559 is 136040.

LCM(152/37, 380/66, 179/559) = 136040

LCM of 152/37, 380/66, 179/559

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 152/37,380/66,179/559

Given numbers are 152/37,380/66,179/559

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 152,380,179

Least Common Multiple of Numerators i.e. LCM of 152,380,179 is 136040.

GCF of Denominators means GCF of 37,66,559 as per the given fractions.

GCF of 37,66,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,380,179

LCM of Fractions 152/37,380/66,179/559 is 136040

2 152, 380, 179
2 76, 190, 179
19 38, 95, 179
2, 5, 179

∴ So the LCM of the given numbers is 2 x 2 x 19 x 2 x 5 x 179 = 136040

Least Common Multiple of 152,380,179 with GCF Formula

Least Common Multiple of 152,380,179 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 152,380,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,380,179) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(152,380,179) x common factors =1 x 76 = 76

LCM(152,380,179) = ( 152 × 380 × 179 ) / 76

LCM(152,380,179) = 10339040 / 76

LCM(152,380,179) = 136040


Lets's calculate GCF of 37,66,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136040/1

Therefore the LCM of Fractions 152/37,380/66,179/559 is 136040

Greatest Common Factor of 37,66,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,66,559 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 37,66,559 . The biggest common factor number is the GCF number.
So the greatest common factor 37,66,559 is 1.


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 152/37, 380/66, 179/559

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 152/37, 380/66, 179/559?

Answer: LCM of Numerators as per given numbers 152/37, 380/66, 179/559 is

LCM of Numerators i.e. for 152,380,179 is 136040

GCF of denominators i.e. for 37,66,559 is 1.

Thus, LCM of Fractions is 136040.Finally, LCM of Fractions for 152/37, 380/66, 179/559 is 136040.