Least Common Multiple of 75/137, 294/181, 402/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/137, 294/181, 402/589 quickly i.e. 492450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/137, 294/181, 402/589 is 492450.

LCM(75/137, 294/181, 402/589) = 492450

LCM of 75/137, 294/181, 402/589

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 75/137,294/181,402/589

Given numbers are 75/137,294/181,402/589

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 75,294,402

Least Common Multiple of Numerators i.e. LCM of 75,294,402 is 492450.

GCF of Denominators means GCF of 137,181,589 as per the given fractions.

GCF of 137,181,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,294,402

LCM of Fractions 75/137,294/181,402/589 is 492450

2 75, 294, 402
3 75, 147, 201
25, 49, 67

∴ So the LCM of the given numbers is 2 x 3 x 25 x 49 x 67 = 492450

Least Common Multiple of 75,294,402 with GCF Formula

Least Common Multiple of 75,294,402 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 75,294,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,294,402) = 3

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

GCF(75,294,402) x common factors =3 x 6 = 18

LCM(75,294,402) = ( 75 × 294 × 402 ) / 18

LCM(75,294,402) = 8864100 / 18

LCM(75,294,402) = 492450


Lets's calculate GCF of 137,181,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492450/1

Therefore the LCM of Fractions 75/137,294/181,402/589 is 492450

Greatest Common Factor of 137,181,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,181,589 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 137,181,589 . The biggest common factor number is the GCF number.
So the greatest common factor 137,181,589 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 75/137, 294/181, 402/589

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 75/137, 294/181, 402/589?

Answer: LCM of Numerators as per given numbers 75/137, 294/181, 402/589 is

LCM of Numerators i.e. for 75,294,402 is 492450

GCF of denominators i.e. for 137,181,589 is 1.

Thus, LCM of Fractions is 492450.Finally, LCM of Fractions for 75/137, 294/181, 402/589 is 492450.