Least Common Multiple of 8700/268, 9425/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8700/268, 9425/945 quickly i.e. 113100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8700/268, 9425/945 is 113100.

LCM(8700/268, 9425/945) = 113100

LCM of 8700/268, 9425/945

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 8700/268,9425/945

Given numbers are 8700/268,9425/945

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 8700,9425

Least Common Multiple of Numerators i.e. LCM of 8700,9425 is 113100.

GCF of Denominators means GCF of 268,945 as per the given fractions.

GCF of 268,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8700,9425

LCM of Fractions 8700/268,9425/945 is 113100

5 8700, 9425
5 1740, 1885
29 348, 377
12, 13

∴ So the LCM of the given numbers is 5 x 5 x 29 x 12 x 13 = 113100

Least Common Multiple of 8700,9425 with GCF Formula

Least Common Multiple of 8700,9425 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 8700,9425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8700,9425) = 725

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

GCF(8700,9425) x common factors =725 x 1 = 725

LCM(8700,9425) = ( 8700 × 9425 ) / 725

LCM(8700,9425) = 81997500 / 725

LCM(8700,9425) = 113100


Lets's calculate GCF of 268,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113100/1

Therefore the LCM of Fractions 8700/268,9425/945 is 113100

Greatest Common Factor of 268,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,945 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 268,945 . The biggest common factor number is the GCF number.
So the greatest common factor 268,945 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 8700/268, 9425/945

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 8700/268, 9425/945?

Answer: LCM of Numerators as per given numbers 8700/268, 9425/945 is

LCM of Numerators i.e. for 8700,9425 is 113100

GCF of denominators i.e. for 268,945 is 1.

Thus, LCM of Fractions is 113100.Finally, LCM of Fractions for 8700/268, 9425/945 is 113100.