Least Common Multiple of 380/867, 2585/7866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/867, 2585/7866 quickly i.e. 196460/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/867, 2585/7866 is 196460/3.

LCM(380/867, 2585/7866) = 196460/3

LCM of 380/867, 2585/7866

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 380/867,2585/7866

Given numbers are 380/867,2585/7866

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 380,2585

Least Common Multiple of Numerators i.e. LCM of 380,2585 is 196460.

GCF of Denominators means GCF of 867,7866 as per the given fractions.

GCF of 867,7866 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,2585

LCM of Fractions 380/867,2585/7866 is 196460/3

5 380, 2585
76, 517

∴ So the LCM of the given numbers is 5 x 76 x 517 = 196460

Least Common Multiple of 380,2585 with GCF Formula

Least Common Multiple of 380,2585 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 380,2585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,2585) = 5

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

GCF(380,2585) x common factors =5 x 1 = 5

LCM(380,2585) = ( 380 × 2585 ) / 5

LCM(380,2585) = 982300 / 5

LCM(380,2585) = 196460


Lets's calculate GCF of 867,7866

3 867, 7866
289, 2622

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196460/3

Therefore the LCM of Fractions 380/867,2585/7866 is 196460/3

Greatest Common Factor of 867,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,7866 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 867,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 867,7866 is 3.


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 380/867, 2585/7866

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 380/867, 2585/7866?

Answer: LCM of Numerators as per given numbers 380/867, 2585/7866 is

LCM of Numerators i.e. for 380,2585 is 196460

GCF of denominators i.e. for 867,7866 is 3.

Thus, LCM of Fractions is 196460/3.Finally, LCM of Fractions for 380/867, 2585/7866 is 196460/3.