Least Common Multiple of 9754/24, 8745/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9754/24, 8745/309 quickly i.e. 28432910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9754/24, 8745/309 is 28432910.

LCM(9754/24, 8745/309) = 28432910

LCM of 9754/24, 8745/309

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 9754/24,8745/309

Given numbers are 9754/24,8745/309

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 9754,8745

Least Common Multiple of Numerators i.e. LCM of 9754,8745 is 85298730.

GCF of Denominators means GCF of 24,309 as per the given fractions.

GCF of 24,309 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9754,8745

LCM of Fractions 9754/24,8745/309 is 28432910

Given numbers has no common factors except 1. So, there LCM is their product i.e 85298730

Least Common Multiple of 9754,8745 with GCF Formula

Least Common Multiple of 9754,8745 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 9754,8745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9754,8745) = 1

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

GCF(9754,8745) x common factors =1 x 1 = 1

LCM(9754,8745) = ( 9754 × 8745 ) / 1

LCM(9754,8745) = 85298730 / 1

LCM(9754,8745) = 85298730


Lets's calculate GCF of 24,309

3 24, 309
8, 103

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85298730/3

Therefore the LCM of Fractions 9754/24,8745/309 is 28432910

Greatest Common Factor of 24,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,309 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 24,309 . The biggest common factor number is the GCF number.
So the greatest common factor 24,309 is 3.


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 9754/24, 8745/309

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 9754/24, 8745/309?

Answer: LCM of Numerators as per given numbers 9754/24, 8745/309 is

LCM of Numerators i.e. for 9754,8745 is 85298730

GCF of denominators i.e. for 24,309 is 3.

Thus, LCM of Fractions is 28432910.Finally, LCM of Fractions for 9754/24, 8745/309 is 28432910.