Least Common Multiple of 466/149, 7563/2379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/149, 7563/2379 quickly i.e. 3524358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/149, 7563/2379 is 3524358.

LCM(466/149, 7563/2379) = 3524358

LCM of 466/149, 7563/2379

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 466/149,7563/2379

Given numbers are 466/149,7563/2379

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 466,7563

Least Common Multiple of Numerators i.e. LCM of 466,7563 is 3524358.

GCF of Denominators means GCF of 149,2379 as per the given fractions.

GCF of 149,2379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,7563

LCM of Fractions 466/149,7563/2379 is 3524358

Given numbers has no common factors except 1. So, there LCM is their product i.e 3524358

Least Common Multiple of 466,7563 with GCF Formula

Least Common Multiple of 466,7563 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 466,7563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,7563) = 1

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

GCF(466,7563) x common factors =1 x 1 = 1

LCM(466,7563) = ( 466 × 7563 ) / 1

LCM(466,7563) = 3524358 / 1

LCM(466,7563) = 3524358


Lets's calculate GCF of 149,2379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3524358/1

Therefore the LCM of Fractions 466/149,7563/2379 is 3524358

Greatest Common Factor of 149,2379 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,2379 By Matching Biggest Common Factor Method

Factors of 149

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

1,149

Factors of 2379

List of positive integer factors of 2379 that divides 2379 without a remainder.

1,3,13,39,61,183,793,2379

Greatest Common Factor

We found the factors 149,2379 . The biggest common factor number is the GCF number.
So the greatest common factor 149,2379 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 466/149, 7563/2379

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 466/149, 7563/2379?

Answer: LCM of Numerators as per given numbers 466/149, 7563/2379 is

LCM of Numerators i.e. for 466,7563 is 3524358

GCF of denominators i.e. for 149,2379 is 1.

Thus, LCM of Fractions is 3524358.Finally, LCM of Fractions for 466/149, 7563/2379 is 3524358.