Least Common Multiple of 96/303, 201/925, 182/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/303, 201/925, 182/254 quickly i.e. 585312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/303, 201/925, 182/254 is 585312.

LCM(96/303, 201/925, 182/254) = 585312

LCM of 96/303, 201/925, 182/254

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 96/303,201/925,182/254

Given numbers are 96/303,201/925,182/254

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 96,201,182

Least Common Multiple of Numerators i.e. LCM of 96,201,182 is 585312.

GCF of Denominators means GCF of 303,925,254 as per the given fractions.

GCF of 303,925,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,201,182

LCM of Fractions 96/303,201/925,182/254 is 585312

2 96, 201, 182
3 48, 201, 91
16, 67, 91

∴ So the LCM of the given numbers is 2 x 3 x 16 x 67 x 91 = 585312

Least Common Multiple of 96,201,182 with GCF Formula

Least Common Multiple of 96,201,182 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 96,201,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,201,182) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,201,182) x common factors =1 x 6 = 6

LCM(96,201,182) = ( 96 × 201 × 182 ) / 6

LCM(96,201,182) = 3511872 / 6

LCM(96,201,182) = 585312


Lets's calculate GCF of 303,925,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585312/1

Therefore the LCM of Fractions 96/303,201/925,182/254 is 585312

Greatest Common Factor of 303,925,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,925,254 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 303,925,254 . The biggest common factor number is the GCF number.
So the greatest common factor 303,925,254 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 96/303, 201/925, 182/254

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 96/303, 201/925, 182/254?

Answer: LCM of Numerators as per given numbers 96/303, 201/925, 182/254 is

LCM of Numerators i.e. for 96,201,182 is 585312

GCF of denominators i.e. for 303,925,254 is 1.

Thus, LCM of Fractions is 585312.Finally, LCM of Fractions for 96/303, 201/925, 182/254 is 585312.