Least Common Multiple of 94/419, 531/390, 968/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/419, 531/390, 968/149 quickly i.e. 24158376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/419, 531/390, 968/149 is 24158376.

LCM(94/419, 531/390, 968/149) = 24158376

LCM of 94/419, 531/390, 968/149

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 94/419,531/390,968/149

Given numbers are 94/419,531/390,968/149

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 94,531,968

Least Common Multiple of Numerators i.e. LCM of 94,531,968 is 24158376.

GCF of Denominators means GCF of 419,390,149 as per the given fractions.

GCF of 419,390,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,531,968

LCM of Fractions 94/419,531/390,968/149 is 24158376

2 94, 531, 968
47, 531, 484

∴ So the LCM of the given numbers is 2 x 47 x 531 x 484 = 24158376

Least Common Multiple of 94,531,968 with GCF Formula

Least Common Multiple of 94,531,968 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 94,531,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,531,968) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,531,968) x common factors =1 x 2 = 2

LCM(94,531,968) = ( 94 × 531 × 968 ) / 2

LCM(94,531,968) = 48316752 / 2

LCM(94,531,968) = 24158376


Lets's calculate GCF of 419,390,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24158376/1

Therefore the LCM of Fractions 94/419,531/390,968/149 is 24158376

Greatest Common Factor of 419,390,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,390,149 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 419,390,149 . The biggest common factor number is the GCF number.
So the greatest common factor 419,390,149 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 94/419, 531/390, 968/149

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 94/419, 531/390, 968/149?

Answer: LCM of Numerators as per given numbers 94/419, 531/390, 968/149 is

LCM of Numerators i.e. for 94,531,968 is 24158376

GCF of denominators i.e. for 419,390,149 is 1.

Thus, LCM of Fractions is 24158376.Finally, LCM of Fractions for 94/419, 531/390, 968/149 is 24158376.