Least Common Multiple of 456/96, 518/8294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/96, 518/8294 quickly i.e. 59052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/96, 518/8294 is 59052.

LCM(456/96, 518/8294) = 59052

LCM of 456/96, 518/8294

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 456/96,518/8294

Given numbers are 456/96,518/8294

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 456,518

Least Common Multiple of Numerators i.e. LCM of 456,518 is 118104.

GCF of Denominators means GCF of 96,8294 as per the given fractions.

GCF of 96,8294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,518

LCM of Fractions 456/96,518/8294 is 59052

2 456, 518
228, 259

∴ So the LCM of the given numbers is 2 x 228 x 259 = 118104

Least Common Multiple of 456,518 with GCF Formula

Least Common Multiple of 456,518 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 456,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,518) = 2

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

GCF(456,518) x common factors =2 x 1 = 2

LCM(456,518) = ( 456 × 518 ) / 2

LCM(456,518) = 236208 / 2

LCM(456,518) = 118104


Lets's calculate GCF of 96,8294

2 96, 8294
48, 4147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118104/2

Therefore the LCM of Fractions 456/96,518/8294 is 59052

Greatest Common Factor of 96,8294 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,8294 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 8294

List of positive integer factors of 8294 that divides 8294 without a remainder.

1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294

Greatest Common Factor

We found the factors 96,8294 . The biggest common factor number is the GCF number.
So the greatest common factor 96,8294 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 456/96, 518/8294

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 456/96, 518/8294?

Answer: LCM of Numerators as per given numbers 456/96, 518/8294 is

LCM of Numerators i.e. for 456,518 is 118104

GCF of denominators i.e. for 96,8294 is 2.

Thus, LCM of Fractions is 59052.Finally, LCM of Fractions for 456/96, 518/8294 is 59052.