Least Common Multiple of 510/33, 2680/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/33, 2680/231 quickly i.e. 136680/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/33, 2680/231 is 136680/33.

LCM(510/33, 2680/231) = 136680/33

LCM of 510/33, 2680/231

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 510/33,2680/231

Given numbers are 510/33,2680/231

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 510,2680

Least Common Multiple of Numerators i.e. LCM of 510,2680 is 136680.

GCF of Denominators means GCF of 33,231 as per the given fractions.

GCF of 33,231 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,2680

LCM of Fractions 510/33,2680/231 is 136680/33

2 510, 2680
5 255, 1340
51, 268

∴ So the LCM of the given numbers is 2 x 5 x 51 x 268 = 136680

Least Common Multiple of 510,2680 with GCF Formula

Least Common Multiple of 510,2680 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 510,2680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,2680) = 10

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

GCF(510,2680) x common factors =10 x 1 = 10

LCM(510,2680) = ( 510 × 2680 ) / 10

LCM(510,2680) = 1366800 / 10

LCM(510,2680) = 136680


Lets's calculate GCF of 33,231

3 33, 231
11 11, 77
1, 7

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136680/33

Therefore the LCM of Fractions 510/33,2680/231 is 136680/33

Greatest Common Factor of 33,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,231 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 33,231 . The biggest common factor number is the GCF number.
So the greatest common factor 33,231 is 33.


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 510/33, 2680/231

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 510/33, 2680/231?

Answer: LCM of Numerators as per given numbers 510/33, 2680/231 is

LCM of Numerators i.e. for 510,2680 is 136680

GCF of denominators i.e. for 33,231 is 33.

Thus, LCM of Fractions is 136680/33.Finally, LCM of Fractions for 510/33, 2680/231 is 136680/33.