Least Common Multiple of 322/468, 284/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/468, 284/149 quickly i.e. 45724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/468, 284/149 is 45724.

LCM(322/468, 284/149) = 45724

LCM of 322/468, 284/149

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 322/468,284/149

Given numbers are 322/468,284/149

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 322,284

Least Common Multiple of Numerators i.e. LCM of 322,284 is 45724.

GCF of Denominators means GCF of 468,149 as per the given fractions.

GCF of 468,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,284

LCM of Fractions 322/468,284/149 is 45724

2 322, 284
161, 142

∴ So the LCM of the given numbers is 2 x 161 x 142 = 45724

Least Common Multiple of 322,284 with GCF Formula

Least Common Multiple of 322,284 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 322,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,284) = 2

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

GCF(322,284) x common factors =2 x 1 = 2

LCM(322,284) = ( 322 × 284 ) / 2

LCM(322,284) = 91448 / 2

LCM(322,284) = 45724


Lets's calculate GCF of 468,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45724/1

Therefore the LCM of Fractions 322/468,284/149 is 45724

Greatest Common Factor of 468,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,149 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

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 468,149 . The biggest common factor number is the GCF number.
So the greatest common factor 468,149 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 322/468, 284/149

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 322/468, 284/149?

Answer: LCM of Numerators as per given numbers 322/468, 284/149 is

LCM of Numerators i.e. for 322,284 is 45724

GCF of denominators i.e. for 468,149 is 1.

Thus, LCM of Fractions is 45724.Finally, LCM of Fractions for 322/468, 284/149 is 45724.