Least Common Multiple of 96/208, 84/302, 512/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/208, 84/302, 512/885 quickly i.e. 10752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/208, 84/302, 512/885 is 10752.

LCM(96/208, 84/302, 512/885) = 10752

LCM of 96/208, 84/302, 512/885

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 96/208,84/302,512/885

Given numbers are 96/208,84/302,512/885

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 96,84,512

Least Common Multiple of Numerators i.e. LCM of 96,84,512 is 10752.

GCF of Denominators means GCF of 208,302,885 as per the given fractions.

GCF of 208,302,885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,84,512

LCM of Fractions 96/208,84/302,512/885 is 10752

2 96, 84, 512
2 48, 42, 256
2 24, 21, 128
2 12, 21, 64
2 6, 21, 32
3 3, 21, 16
1, 7, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 7 x 16 = 10752

Least Common Multiple of 96,84,512 with GCF Formula

Least Common Multiple of 96,84,512 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 96,84,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,84,512) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(96,84,512) x common factors =4 x 96 = 384

LCM(96,84,512) = ( 96 × 84 × 512 ) / 384

LCM(96,84,512) = 4128768 / 384

LCM(96,84,512) = 10752


Lets's calculate GCF of 208,302,885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10752/1

Therefore the LCM of Fractions 96/208,84/302,512/885 is 10752

Greatest Common Factor of 208,302,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,302,885 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 208,302,885 . The biggest common factor number is the GCF number.
So the greatest common factor 208,302,885 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 96/208, 84/302, 512/885

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 96/208, 84/302, 512/885?

Answer: LCM of Numerators as per given numbers 96/208, 84/302, 512/885 is

LCM of Numerators i.e. for 96,84,512 is 10752

GCF of denominators i.e. for 208,302,885 is 1.

Thus, LCM of Fractions is 10752.Finally, LCM of Fractions for 96/208, 84/302, 512/885 is 10752.