Least Common Multiple of 15/924, 8980/7694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/924, 8980/7694 quickly i.e. 13470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/924, 8980/7694 is 13470.

LCM(15/924, 8980/7694) = 13470

LCM of 15/924, 8980/7694

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 15/924,8980/7694

Given numbers are 15/924,8980/7694

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 15,8980

Least Common Multiple of Numerators i.e. LCM of 15,8980 is 26940.

GCF of Denominators means GCF of 924,7694 as per the given fractions.

GCF of 924,7694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,8980

LCM of Fractions 15/924,8980/7694 is 13470

5 15, 8980
3, 1796

∴ So the LCM of the given numbers is 5 x 3 x 1796 = 26940

Least Common Multiple of 15,8980 with GCF Formula

Least Common Multiple of 15,8980 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 15,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,8980) = 5

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

GCF(15,8980) x common factors =5 x 1 = 5

LCM(15,8980) = ( 15 × 8980 ) / 5

LCM(15,8980) = 134700 / 5

LCM(15,8980) = 26940


Lets's calculate GCF of 924,7694

2 924, 7694
462, 3847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26940/2

Therefore the LCM of Fractions 15/924,8980/7694 is 13470

Greatest Common Factor of 924,7694 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,7694 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1,2,3847,7694

Greatest Common Factor

We found the factors 924,7694 . The biggest common factor number is the GCF number.
So the greatest common factor 924,7694 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 15/924, 8980/7694

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 15/924, 8980/7694?

Answer: LCM of Numerators as per given numbers 15/924, 8980/7694 is

LCM of Numerators i.e. for 15,8980 is 26940

GCF of denominators i.e. for 924,7694 is 2.

Thus, LCM of Fractions is 13470.Finally, LCM of Fractions for 15/924, 8980/7694 is 13470.