Least Common Multiple of 9229/515, 9724/9951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9229/515, 9724/9951 quickly i.e. 8158436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9229/515, 9724/9951 is 8158436.

LCM(9229/515, 9724/9951) = 8158436

LCM of 9229/515, 9724/9951

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 9229/515,9724/9951

Given numbers are 9229/515,9724/9951

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 9229,9724

Least Common Multiple of Numerators i.e. LCM of 9229,9724 is 8158436.

GCF of Denominators means GCF of 515,9951 as per the given fractions.

GCF of 515,9951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9229,9724

LCM of Fractions 9229/515,9724/9951 is 8158436

11 9229, 9724
839, 884

∴ So the LCM of the given numbers is 11 x 839 x 884 = 8158436

Least Common Multiple of 9229,9724 with GCF Formula

Least Common Multiple of 9229,9724 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 9229,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9229,9724) = 11

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

GCF(9229,9724) x common factors =11 x 1 = 11

LCM(9229,9724) = ( 9229 × 9724 ) / 11

LCM(9229,9724) = 89742796 / 11

LCM(9229,9724) = 8158436


Lets's calculate GCF of 515,9951

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8158436/1

Therefore the LCM of Fractions 9229/515,9724/9951 is 8158436

Greatest Common Factor of 515,9951 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,9951 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 9951

List of positive integer factors of 9951 that divides 9951 without a remainder.

1,3,31,93,107,321,3317,9951

Greatest Common Factor

We found the factors 515,9951 . The biggest common factor number is the GCF number.
So the greatest common factor 515,9951 is 1.


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 9229/515, 9724/9951

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 9229/515, 9724/9951?

Answer: LCM of Numerators as per given numbers 9229/515, 9724/9951 is

LCM of Numerators i.e. for 9229,9724 is 8158436

GCF of denominators i.e. for 515,9951 is 1.

Thus, LCM of Fractions is 8158436.Finally, LCM of Fractions for 9229/515, 9724/9951 is 8158436.