Least Common Multiple of 138/73, 825/92, 318/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/73, 825/92, 318/655 quickly i.e. 2011350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/73, 825/92, 318/655 is 2011350.

LCM(138/73, 825/92, 318/655) = 2011350

LCM of 138/73, 825/92, 318/655

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 138/73,825/92,318/655

Given numbers are 138/73,825/92,318/655

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 138,825,318

Least Common Multiple of Numerators i.e. LCM of 138,825,318 is 2011350.

GCF of Denominators means GCF of 73,92,655 as per the given fractions.

GCF of 73,92,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,825,318

LCM of Fractions 138/73,825/92,318/655 is 2011350

2 138, 825, 318
3 69, 825, 159
23, 275, 53

∴ So the LCM of the given numbers is 2 x 3 x 23 x 275 x 53 = 2011350

Least Common Multiple of 138,825,318 with GCF Formula

Least Common Multiple of 138,825,318 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 138,825,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,825,318) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(138,825,318) x common factors =3 x 6 = 18

LCM(138,825,318) = ( 138 × 825 × 318 ) / 18

LCM(138,825,318) = 36204300 / 18

LCM(138,825,318) = 2011350


Lets's calculate GCF of 73,92,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2011350/1

Therefore the LCM of Fractions 138/73,825/92,318/655 is 2011350

Greatest Common Factor of 73,92,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,92,655 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 73,92,655 . The biggest common factor number is the GCF number.
So the greatest common factor 73,92,655 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 138/73, 825/92, 318/655

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 138/73, 825/92, 318/655?

Answer: LCM of Numerators as per given numbers 138/73, 825/92, 318/655 is

LCM of Numerators i.e. for 138,825,318 is 2011350

GCF of denominators i.e. for 73,92,655 is 1.

Thus, LCM of Fractions is 2011350.Finally, LCM of Fractions for 138/73, 825/92, 318/655 is 2011350.