Least Common Multiple of 138/85, 507/32, 919/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/85, 507/32, 919/273 quickly i.e. 21432918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/85, 507/32, 919/273 is 21432918.

LCM(138/85, 507/32, 919/273) = 21432918

LCM of 138/85, 507/32, 919/273

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 138/85,507/32,919/273

Given numbers are 138/85,507/32,919/273

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 138,507,919

Least Common Multiple of Numerators i.e. LCM of 138,507,919 is 21432918.

GCF of Denominators means GCF of 85,32,273 as per the given fractions.

GCF of 85,32,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,507,919

LCM of Fractions 138/85,507/32,919/273 is 21432918

3 138, 507, 919
46, 169, 919

∴ So the LCM of the given numbers is 3 x 46 x 169 x 919 = 21432918

Least Common Multiple of 138,507,919 with GCF Formula

Least Common Multiple of 138,507,919 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 138,507,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,507,919) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(138,507,919) x common factors =1 x 3 = 3

LCM(138,507,919) = ( 138 × 507 × 919 ) / 3

LCM(138,507,919) = 64298754 / 3

LCM(138,507,919) = 21432918


Lets's calculate GCF of 85,32,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21432918/1

Therefore the LCM of Fractions 138/85,507/32,919/273 is 21432918

Greatest Common Factor of 85,32,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,32,273 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 85,32,273 . The biggest common factor number is the GCF number.
So the greatest common factor 85,32,273 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 138/85, 507/32, 919/273

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 138/85, 507/32, 919/273?

Answer: LCM of Numerators as per given numbers 138/85, 507/32, 919/273 is

LCM of Numerators i.e. for 138,507,919 is 21432918

GCF of denominators i.e. for 85,32,273 is 1.

Thus, LCM of Fractions is 21432918.Finally, LCM of Fractions for 138/85, 507/32, 919/273 is 21432918.