Least Common Multiple of 9694/316, 3098/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9694/316, 3098/992 quickly i.e. 15016006/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9694/316, 3098/992 is 15016006/4.

LCM(9694/316, 3098/992) = 15016006/4

LCM of 9694/316, 3098/992

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 9694/316,3098/992

Given numbers are 9694/316,3098/992

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 9694,3098

Least Common Multiple of Numerators i.e. LCM of 9694,3098 is 15016006.

GCF of Denominators means GCF of 316,992 as per the given fractions.

GCF of 316,992 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9694,3098

LCM of Fractions 9694/316,3098/992 is 15016006/4

2 9694, 3098
4847, 1549

∴ So the LCM of the given numbers is 2 x 4847 x 1549 = 15016006

Least Common Multiple of 9694,3098 with GCF Formula

Least Common Multiple of 9694,3098 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 9694,3098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9694,3098) = 2

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

GCF(9694,3098) x common factors =2 x 1 = 2

LCM(9694,3098) = ( 9694 × 3098 ) / 2

LCM(9694,3098) = 30032012 / 2

LCM(9694,3098) = 15016006


Lets's calculate GCF of 316,992

2 316, 992
2 158, 496
79, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15016006/4

Therefore the LCM of Fractions 9694/316,3098/992 is 15016006/4

Greatest Common Factor of 316,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,992 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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 316,992 . The biggest common factor number is the GCF number.
So the greatest common factor 316,992 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 9694/316, 3098/992

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 9694/316, 3098/992?

Answer: LCM of Numerators as per given numbers 9694/316, 3098/992 is

LCM of Numerators i.e. for 9694,3098 is 15016006

GCF of denominators i.e. for 316,992 is 4.

Thus, LCM of Fractions is 15016006/4.Finally, LCM of Fractions for 9694/316, 3098/992 is 15016006/4.