Least Common Multiple of 8956/286, 6855/9076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8956/286, 6855/9076 quickly i.e. 30696690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8956/286, 6855/9076 is 30696690.

LCM(8956/286, 6855/9076) = 30696690

LCM of 8956/286, 6855/9076

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 8956/286,6855/9076

Given numbers are 8956/286,6855/9076

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 8956,6855

Least Common Multiple of Numerators i.e. LCM of 8956,6855 is 61393380.

GCF of Denominators means GCF of 286,9076 as per the given fractions.

GCF of 286,9076 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8956,6855

LCM of Fractions 8956/286,6855/9076 is 30696690

Given numbers has no common factors except 1. So, there LCM is their product i.e 61393380

Least Common Multiple of 8956,6855 with GCF Formula

Least Common Multiple of 8956,6855 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 8956,6855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8956,6855) = 1

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

GCF(8956,6855) x common factors =1 x 1 = 1

LCM(8956,6855) = ( 8956 × 6855 ) / 1

LCM(8956,6855) = 61393380 / 1

LCM(8956,6855) = 61393380


Lets's calculate GCF of 286,9076

2 286, 9076
143, 4538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61393380/2

Therefore the LCM of Fractions 8956/286,6855/9076 is 30696690

Greatest Common Factor of 286,9076 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,9076 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Greatest Common Factor

We found the factors 286,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 286,9076 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 8956/286, 6855/9076

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 8956/286, 6855/9076?

Answer: LCM of Numerators as per given numbers 8956/286, 6855/9076 is

LCM of Numerators i.e. for 8956,6855 is 61393380

GCF of denominators i.e. for 286,9076 is 2.

Thus, LCM of Fractions is 30696690.Finally, LCM of Fractions for 8956/286, 6855/9076 is 30696690.