Least Common Multiple of 95/874, 361/81, 138/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/874, 361/81, 138/324 quickly i.e. 249090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/874, 361/81, 138/324 is 249090.

LCM(95/874, 361/81, 138/324) = 249090

LCM of 95/874, 361/81, 138/324

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 95/874,361/81,138/324

Given numbers are 95/874,361/81,138/324

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 95,361,138

Least Common Multiple of Numerators i.e. LCM of 95,361,138 is 249090.

GCF of Denominators means GCF of 874,81,324 as per the given fractions.

GCF of 874,81,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,361,138

LCM of Fractions 95/874,361/81,138/324 is 249090

19 95, 361, 138
5, 19, 138

∴ So the LCM of the given numbers is 19 x 5 x 19 x 138 = 249090

Least Common Multiple of 95,361,138 with GCF Formula

Least Common Multiple of 95,361,138 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 95,361,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,361,138) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(95,361,138) x common factors =1 x 19 = 19

LCM(95,361,138) = ( 95 × 361 × 138 ) / 19

LCM(95,361,138) = 4732710 / 19

LCM(95,361,138) = 249090


Lets's calculate GCF of 874,81,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249090/1

Therefore the LCM of Fractions 95/874,361/81,138/324 is 249090

Greatest Common Factor of 874,81,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,81,324 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 874,81,324 . The biggest common factor number is the GCF number.
So the greatest common factor 874,81,324 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 95/874, 361/81, 138/324

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 95/874, 361/81, 138/324?

Answer: LCM of Numerators as per given numbers 95/874, 361/81, 138/324 is

LCM of Numerators i.e. for 95,361,138 is 249090

GCF of denominators i.e. for 874,81,324 is 1.

Thus, LCM of Fractions is 249090.Finally, LCM of Fractions for 95/874, 361/81, 138/324 is 249090.