Least Common Multiple of 2676/286, 9265/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2676/286, 9265/392 quickly i.e. 12396570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2676/286, 9265/392 is 12396570.

LCM(2676/286, 9265/392) = 12396570

LCM of 2676/286, 9265/392

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 2676/286,9265/392

Given numbers are 2676/286,9265/392

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 2676,9265

Least Common Multiple of Numerators i.e. LCM of 2676,9265 is 24793140.

GCF of Denominators means GCF of 286,392 as per the given fractions.

GCF of 286,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2676,9265

LCM of Fractions 2676/286,9265/392 is 12396570

Given numbers has no common factors except 1. So, there LCM is their product i.e 24793140

Least Common Multiple of 2676,9265 with GCF Formula

Least Common Multiple of 2676,9265 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 2676,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2676,9265) = 1

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

GCF(2676,9265) x common factors =1 x 1 = 1

LCM(2676,9265) = ( 2676 × 9265 ) / 1

LCM(2676,9265) = 24793140 / 1

LCM(2676,9265) = 24793140


Lets's calculate GCF of 286,392

2 286, 392
143, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24793140/2

Therefore the LCM of Fractions 2676/286,9265/392 is 12396570

Greatest Common Factor of 286,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,392 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 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 286,392 . The biggest common factor number is the GCF number.
So the greatest common factor 286,392 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2676/286, 9265/392

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 2676/286, 9265/392?

Answer: LCM of Numerators as per given numbers 2676/286, 9265/392 is

LCM of Numerators i.e. for 2676,9265 is 24793140

GCF of denominators i.e. for 286,392 is 2.

Thus, LCM of Fractions is 12396570.Finally, LCM of Fractions for 2676/286, 9265/392 is 12396570.