Least Common Multiple of 84/254, 75/317, 138/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/254, 75/317, 138/936 quickly i.e. 48300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/254, 75/317, 138/936 is 48300.

LCM(84/254, 75/317, 138/936) = 48300

LCM of 84/254, 75/317, 138/936

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 84/254,75/317,138/936

Given numbers are 84/254,75/317,138/936

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 84,75,138

Least Common Multiple of Numerators i.e. LCM of 84,75,138 is 48300.

GCF of Denominators means GCF of 254,317,936 as per the given fractions.

GCF of 254,317,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,75,138

LCM of Fractions 84/254,75/317,138/936 is 48300

2 84, 75, 138
3 42, 75, 69
14, 25, 23

∴ So the LCM of the given numbers is 2 x 3 x 14 x 25 x 23 = 48300

Least Common Multiple of 84,75,138 with GCF Formula

Least Common Multiple of 84,75,138 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 84,75,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,75,138) = 3

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

GCF(84,75,138) x common factors =3 x 6 = 18

LCM(84,75,138) = ( 84 × 75 × 138 ) / 18

LCM(84,75,138) = 869400 / 18

LCM(84,75,138) = 48300


Lets's calculate GCF of 254,317,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48300/1

Therefore the LCM of Fractions 84/254,75/317,138/936 is 48300

Greatest Common Factor of 254,317,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,317,936 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 254,317,936 . The biggest common factor number is the GCF number.
So the greatest common factor 254,317,936 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 84/254, 75/317, 138/936

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 84/254, 75/317, 138/936?

Answer: LCM of Numerators as per given numbers 84/254, 75/317, 138/936 is

LCM of Numerators i.e. for 84,75,138 is 48300

GCF of denominators i.e. for 254,317,936 is 1.

Thus, LCM of Fractions is 48300.Finally, LCM of Fractions for 84/254, 75/317, 138/936 is 48300.