Least Common Multiple of 96/928, 1382/6186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/928, 1382/6186 quickly i.e. 33168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/928, 1382/6186 is 33168.

LCM(96/928, 1382/6186) = 33168

LCM of 96/928, 1382/6186

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 96/928,1382/6186

Given numbers are 96/928,1382/6186

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 96,1382

Least Common Multiple of Numerators i.e. LCM of 96,1382 is 66336.

GCF of Denominators means GCF of 928,6186 as per the given fractions.

GCF of 928,6186 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,1382

LCM of Fractions 96/928,1382/6186 is 33168

2 96, 1382
48, 691

∴ So the LCM of the given numbers is 2 x 48 x 691 = 66336

Least Common Multiple of 96,1382 with GCF Formula

Least Common Multiple of 96,1382 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 96,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,1382) = 2

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

GCF(96,1382) x common factors =2 x 1 = 2

LCM(96,1382) = ( 96 × 1382 ) / 2

LCM(96,1382) = 132672 / 2

LCM(96,1382) = 66336


Lets's calculate GCF of 928,6186

2 928, 6186
464, 3093

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66336/2

Therefore the LCM of Fractions 96/928,1382/6186 is 33168

Greatest Common Factor of 928,6186 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,6186 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 6186

List of positive integer factors of 6186 that divides 6186 without a remainder.

1,2,3,6,1031,2062,3093,6186

Greatest Common Factor

We found the factors 928,6186 . The biggest common factor number is the GCF number.
So the greatest common factor 928,6186 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 96/928, 1382/6186

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 96/928, 1382/6186?

Answer: LCM of Numerators as per given numbers 96/928, 1382/6186 is

LCM of Numerators i.e. for 96,1382 is 66336

GCF of denominators i.e. for 928,6186 is 2.

Thus, LCM of Fractions is 33168.Finally, LCM of Fractions for 96/928, 1382/6186 is 33168.