Least Common Multiple of 149/54, 954/8517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/54, 954/8517 quickly i.e. 47382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/54, 954/8517 is 47382.

LCM(149/54, 954/8517) = 47382

LCM of 149/54, 954/8517

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 149/54,954/8517

Given numbers are 149/54,954/8517

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 149,954

Least Common Multiple of Numerators i.e. LCM of 149,954 is 142146.

GCF of Denominators means GCF of 54,8517 as per the given fractions.

GCF of 54,8517 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,954

LCM of Fractions 149/54,954/8517 is 47382

Given numbers has no common factors except 1. So, there LCM is their product i.e 142146

Least Common Multiple of 149,954 with GCF Formula

Least Common Multiple of 149,954 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 149,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,954) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(149,954) x common factors =1 x 1 = 1

LCM(149,954) = ( 149 × 954 ) / 1

LCM(149,954) = 142146 / 1

LCM(149,954) = 142146


Lets's calculate GCF of 54,8517

3 54, 8517
18, 2839

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142146/3

Therefore the LCM of Fractions 149/54,954/8517 is 47382

Greatest Common Factor of 54,8517 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,8517 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Greatest Common Factor

We found the factors 54,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8517 is 3.


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 149/54, 954/8517

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 149/54, 954/8517?

Answer: LCM of Numerators as per given numbers 149/54, 954/8517 is

LCM of Numerators i.e. for 149,954 is 142146

GCF of denominators i.e. for 54,8517 is 3.

Thus, LCM of Fractions is 47382.Finally, LCM of Fractions for 149/54, 954/8517 is 47382.