Least Common Multiple of 7554/404, 8709/9862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7554/404, 8709/9862 quickly i.e. 10964631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7554/404, 8709/9862 is 10964631.

LCM(7554/404, 8709/9862) = 10964631

LCM of 7554/404, 8709/9862

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 7554/404,8709/9862

Given numbers are 7554/404,8709/9862

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 7554,8709

Least Common Multiple of Numerators i.e. LCM of 7554,8709 is 21929262.

GCF of Denominators means GCF of 404,9862 as per the given fractions.

GCF of 404,9862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7554,8709

LCM of Fractions 7554/404,8709/9862 is 10964631

3 7554, 8709
2518, 2903

∴ So the LCM of the given numbers is 3 x 2518 x 2903 = 21929262

Least Common Multiple of 7554,8709 with GCF Formula

Least Common Multiple of 7554,8709 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 7554,8709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7554,8709) = 3

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

GCF(7554,8709) x common factors =3 x 1 = 3

LCM(7554,8709) = ( 7554 × 8709 ) / 3

LCM(7554,8709) = 65787786 / 3

LCM(7554,8709) = 21929262


Lets's calculate GCF of 404,9862

2 404, 9862
202, 4931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21929262/2

Therefore the LCM of Fractions 7554/404,8709/9862 is 10964631

Greatest Common Factor of 404,9862 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,9862 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1,2,4931,9862

Greatest Common Factor

We found the factors 404,9862 . The biggest common factor number is the GCF number.
So the greatest common factor 404,9862 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 7554/404, 8709/9862

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 7554/404, 8709/9862?

Answer: LCM of Numerators as per given numbers 7554/404, 8709/9862 is

LCM of Numerators i.e. for 7554,8709 is 21929262

GCF of denominators i.e. for 404,9862 is 2.

Thus, LCM of Fractions is 10964631.Finally, LCM of Fractions for 7554/404, 8709/9862 is 10964631.