Least Common Multiple of 2735/846, 9084/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2735/846, 9084/282 quickly i.e. 24844740/282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2735/846, 9084/282 is 24844740/282.

LCM(2735/846, 9084/282) = 24844740/282

LCM of 2735/846, 9084/282

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 2735/846,9084/282

Given numbers are 2735/846,9084/282

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 2735,9084

Least Common Multiple of Numerators i.e. LCM of 2735,9084 is 24844740.

GCF of Denominators means GCF of 846,282 as per the given fractions.

GCF of 846,282 is 282 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2735,9084

LCM of Fractions 2735/846,9084/282 is 24844740/282

Given numbers has no common factors except 1. So, there LCM is their product i.e 24844740

Least Common Multiple of 2735,9084 with GCF Formula

Least Common Multiple of 2735,9084 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 2735,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2735,9084) = 1

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

GCF(2735,9084) x common factors =1 x 1 = 1

LCM(2735,9084) = ( 2735 × 9084 ) / 1

LCM(2735,9084) = 24844740 / 1

LCM(2735,9084) = 24844740


Lets's calculate GCF of 846,282

2 846, 282
3 423, 141
47 47, 141
1, 3

∴ So the GCF of the given numbers is 2 x 3 x 47 = 282

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24844740/282

Therefore the LCM of Fractions 2735/846,9084/282 is 24844740/282

Greatest Common Factor of 846,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,282 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 846,282 . The biggest common factor number is the GCF number.
So the greatest common factor 846,282 is 282.


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 2735/846, 9084/282

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 2735/846, 9084/282?

Answer: LCM of Numerators as per given numbers 2735/846, 9084/282 is

LCM of Numerators i.e. for 2735,9084 is 24844740

GCF of denominators i.e. for 846,282 is 282.

Thus, LCM of Fractions is 24844740/282.Finally, LCM of Fractions for 2735/846, 9084/282 is 24844740/282.