Least Common Multiple of 765/894, 2460/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/894, 2460/428 quickly i.e. 62730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/894, 2460/428 is 62730.

LCM(765/894, 2460/428) = 62730

LCM of 765/894, 2460/428

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 765/894,2460/428

Given numbers are 765/894,2460/428

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 765,2460

Least Common Multiple of Numerators i.e. LCM of 765,2460 is 125460.

GCF of Denominators means GCF of 894,428 as per the given fractions.

GCF of 894,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,2460

LCM of Fractions 765/894,2460/428 is 62730

3 765, 2460
5 255, 820
51, 164

∴ So the LCM of the given numbers is 3 x 5 x 51 x 164 = 125460

Least Common Multiple of 765,2460 with GCF Formula

Least Common Multiple of 765,2460 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 765,2460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,2460) = 15

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

GCF(765,2460) x common factors =15 x 1 = 15

LCM(765,2460) = ( 765 × 2460 ) / 15

LCM(765,2460) = 1881900 / 15

LCM(765,2460) = 125460


Lets's calculate GCF of 894,428

2 894, 428
447, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125460/2

Therefore the LCM of Fractions 765/894,2460/428 is 62730

Greatest Common Factor of 894,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,428 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 894,428 . The biggest common factor number is the GCF number.
So the greatest common factor 894,428 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 765/894, 2460/428

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 765/894, 2460/428?

Answer: LCM of Numerators as per given numbers 765/894, 2460/428 is

LCM of Numerators i.e. for 765,2460 is 125460

GCF of denominators i.e. for 894,428 is 2.

Thus, LCM of Fractions is 62730.Finally, LCM of Fractions for 765/894, 2460/428 is 62730.