Least Common Multiple of 323/38, 924/90, 119/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/38, 924/90, 119/253 quickly i.e. 298452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/38, 924/90, 119/253 is 298452.

LCM(323/38, 924/90, 119/253) = 298452

LCM of 323/38, 924/90, 119/253

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 323/38,924/90,119/253

Given numbers are 323/38,924/90,119/253

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 323,924,119

Least Common Multiple of Numerators i.e. LCM of 323,924,119 is 298452.

GCF of Denominators means GCF of 38,90,253 as per the given fractions.

GCF of 38,90,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,924,119

LCM of Fractions 323/38,924/90,119/253 is 298452

7 323, 924, 119
17 323, 132, 17
19, 132, 1

∴ So the LCM of the given numbers is 7 x 17 x 19 x 132 x 1 = 298452

Least Common Multiple of 323,924,119 with GCF Formula

Least Common Multiple of 323,924,119 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 323,924,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,924,119) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(323,924,119) x common factors =1 x 119 = 119

LCM(323,924,119) = ( 323 × 924 × 119 ) / 119

LCM(323,924,119) = 35515788 / 119

LCM(323,924,119) = 298452


Lets's calculate GCF of 38,90,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/1

Therefore the LCM of Fractions 323/38,924/90,119/253 is 298452

Greatest Common Factor of 38,90,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,90,253 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 38,90,253 . The biggest common factor number is the GCF number.
So the greatest common factor 38,90,253 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 323/38, 924/90, 119/253

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 323/38, 924/90, 119/253?

Answer: LCM of Numerators as per given numbers 323/38, 924/90, 119/253 is

LCM of Numerators i.e. for 323,924,119 is 298452

GCF of denominators i.e. for 38,90,253 is 1.

Thus, LCM of Fractions is 298452.Finally, LCM of Fractions for 323/38, 924/90, 119/253 is 298452.