Least Common Multiple of 96/308, 62/842, 322/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/308, 62/842, 322/600 quickly i.e. 239568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/308, 62/842, 322/600 is 239568.

LCM(96/308, 62/842, 322/600) = 239568

LCM of 96/308, 62/842, 322/600

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 96/308,62/842,322/600

Given numbers are 96/308,62/842,322/600

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 96,62,322

Least Common Multiple of Numerators i.e. LCM of 96,62,322 is 479136.

GCF of Denominators means GCF of 308,842,600 as per the given fractions.

GCF of 308,842,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,62,322

LCM of Fractions 96/308,62/842,322/600 is 239568

2 96, 62, 322
48, 31, 161

∴ So the LCM of the given numbers is 2 x 48 x 31 x 161 = 479136

Least Common Multiple of 96,62,322 with GCF Formula

Least Common Multiple of 96,62,322 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 96,62,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,62,322) = 2

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

GCF(96,62,322) x common factors =2 x 2 = 4

LCM(96,62,322) = ( 96 × 62 × 322 ) / 4

LCM(96,62,322) = 1916544 / 4

LCM(96,62,322) = 479136


Lets's calculate GCF of 308,842,600

2 308, 842, 600
154, 421, 300

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479136/2

Therefore the LCM of Fractions 96/308,62/842,322/600 is 239568

Greatest Common Factor of 308,842,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,842,600 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 308,842,600 . The biggest common factor number is the GCF number.
So the greatest common factor 308,842,600 is 2.


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 96/308, 62/842, 322/600

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 96/308, 62/842, 322/600?

Answer: LCM of Numerators as per given numbers 96/308, 62/842, 322/600 is

LCM of Numerators i.e. for 96,62,322 is 479136

GCF of denominators i.e. for 308,842,600 is 2.

Thus, LCM of Fractions is 239568.Finally, LCM of Fractions for 96/308, 62/842, 322/600 is 239568.