Least Common Multiple of 7284/316, 1398/7096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7284/316, 1398/7096 quickly i.e. 424293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7284/316, 1398/7096 is 424293.

LCM(7284/316, 1398/7096) = 424293

LCM of 7284/316, 1398/7096

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 7284/316,1398/7096

Given numbers are 7284/316,1398/7096

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 7284,1398

Least Common Multiple of Numerators i.e. LCM of 7284,1398 is 1697172.

GCF of Denominators means GCF of 316,7096 as per the given fractions.

GCF of 316,7096 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7284,1398

LCM of Fractions 7284/316,1398/7096 is 424293

2 7284, 1398
3 3642, 699
1214, 233

∴ So the LCM of the given numbers is 2 x 3 x 1214 x 233 = 1697172

Least Common Multiple of 7284,1398 with GCF Formula

Least Common Multiple of 7284,1398 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 7284,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7284,1398) = 6

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

GCF(7284,1398) x common factors =6 x 1 = 6

LCM(7284,1398) = ( 7284 × 1398 ) / 6

LCM(7284,1398) = 10183032 / 6

LCM(7284,1398) = 1697172


Lets's calculate GCF of 316,7096

2 316, 7096
2 158, 3548
79, 1774

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1697172/4

Therefore the LCM of Fractions 7284/316,1398/7096 is 424293

Greatest Common Factor of 316,7096 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,7096 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1,2,4,8,887,1774,3548,7096

Greatest Common Factor

We found the factors 316,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 316,7096 is 4.


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 7284/316, 1398/7096

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 7284/316, 1398/7096?

Answer: LCM of Numerators as per given numbers 7284/316, 1398/7096 is

LCM of Numerators i.e. for 7284,1398 is 1697172

GCF of denominators i.e. for 316,7096 is 4.

Thus, LCM of Fractions is 424293.Finally, LCM of Fractions for 7284/316, 1398/7096 is 424293.