Least Common Multiple of 3655/287, 1820/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3655/287, 1820/861 quickly i.e. 1330420/287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3655/287, 1820/861 is 1330420/287.

LCM(3655/287, 1820/861) = 1330420/287

LCM of 3655/287, 1820/861

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 3655/287,1820/861

Given numbers are 3655/287,1820/861

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 3655,1820

Least Common Multiple of Numerators i.e. LCM of 3655,1820 is 1330420.

GCF of Denominators means GCF of 287,861 as per the given fractions.

GCF of 287,861 is 287 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3655,1820

LCM of Fractions 3655/287,1820/861 is 1330420/287

5 3655, 1820
731, 364

∴ So the LCM of the given numbers is 5 x 731 x 364 = 1330420

Least Common Multiple of 3655,1820 with GCF Formula

Least Common Multiple of 3655,1820 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 3655,1820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3655,1820) = 5

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

GCF(3655,1820) x common factors =5 x 1 = 5

LCM(3655,1820) = ( 3655 × 1820 ) / 5

LCM(3655,1820) = 6652100 / 5

LCM(3655,1820) = 1330420


Lets's calculate GCF of 287,861

7 287, 861
41 41, 123
1, 3

∴ So the GCF of the given numbers is 7 x 41 = 287

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1330420/287

Therefore the LCM of Fractions 3655/287,1820/861 is 1330420/287

Greatest Common Factor of 287,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,861 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 287,861 . The biggest common factor number is the GCF number.
So the greatest common factor 287,861 is 287.


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 3655/287, 1820/861

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 3655/287, 1820/861?

Answer: LCM of Numerators as per given numbers 3655/287, 1820/861 is

LCM of Numerators i.e. for 3655,1820 is 1330420

GCF of denominators i.e. for 287,861 is 287.

Thus, LCM of Fractions is 1330420/287.Finally, LCM of Fractions for 3655/287, 1820/861 is 1330420/287.