Least Common Multiple of 9759/96, 1725/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9759/96, 1725/989 quickly i.e. 5611425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9759/96, 1725/989 is 5611425.

LCM(9759/96, 1725/989) = 5611425

LCM of 9759/96, 1725/989

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 9759/96,1725/989

Given numbers are 9759/96,1725/989

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 9759,1725

Least Common Multiple of Numerators i.e. LCM of 9759,1725 is 5611425.

GCF of Denominators means GCF of 96,989 as per the given fractions.

GCF of 96,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9759,1725

LCM of Fractions 9759/96,1725/989 is 5611425

3 9759, 1725
3253, 575

∴ So the LCM of the given numbers is 3 x 3253 x 575 = 5611425

Least Common Multiple of 9759,1725 with GCF Formula

Least Common Multiple of 9759,1725 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 9759,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9759,1725) = 3

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

GCF(9759,1725) x common factors =3 x 1 = 3

LCM(9759,1725) = ( 9759 × 1725 ) / 3

LCM(9759,1725) = 16834275 / 3

LCM(9759,1725) = 5611425


Lets's calculate GCF of 96,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5611425/1

Therefore the LCM of Fractions 9759/96,1725/989 is 5611425

Greatest Common Factor of 96,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,989 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 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 96,989 . The biggest common factor number is the GCF number.
So the greatest common factor 96,989 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 9759/96, 1725/989

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 9759/96, 1725/989?

Answer: LCM of Numerators as per given numbers 9759/96, 1725/989 is

LCM of Numerators i.e. for 9759,1725 is 5611425

GCF of denominators i.e. for 96,989 is 1.

Thus, LCM of Fractions is 5611425.Finally, LCM of Fractions for 9759/96, 1725/989 is 5611425.