Least Common Multiple of 6865/90, 8330/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6865/90, 8330/258 quickly i.e. 11437090/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6865/90, 8330/258 is 11437090/6.

LCM(6865/90, 8330/258) = 11437090/6

LCM of 6865/90, 8330/258

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 6865/90,8330/258

Given numbers are 6865/90,8330/258

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 6865,8330

Least Common Multiple of Numerators i.e. LCM of 6865,8330 is 11437090.

GCF of Denominators means GCF of 90,258 as per the given fractions.

GCF of 90,258 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6865,8330

LCM of Fractions 6865/90,8330/258 is 11437090/6

5 6865, 8330
1373, 1666

∴ So the LCM of the given numbers is 5 x 1373 x 1666 = 11437090

Least Common Multiple of 6865,8330 with GCF Formula

Least Common Multiple of 6865,8330 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 6865,8330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6865,8330) = 5

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

GCF(6865,8330) x common factors =5 x 1 = 5

LCM(6865,8330) = ( 6865 × 8330 ) / 5

LCM(6865,8330) = 57185450 / 5

LCM(6865,8330) = 11437090


Lets's calculate GCF of 90,258

2 90, 258
3 45, 129
15, 43

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11437090/6

Therefore the LCM of Fractions 6865/90,8330/258 is 11437090/6

Greatest Common Factor of 90,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,258 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 90,258 . The biggest common factor number is the GCF number.
So the greatest common factor 90,258 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6865/90, 8330/258

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 6865/90, 8330/258?

Answer: LCM of Numerators as per given numbers 6865/90, 8330/258 is

LCM of Numerators i.e. for 6865,8330 is 11437090

GCF of denominators i.e. for 90,258 is 6.

Thus, LCM of Fractions is 11437090/6.Finally, LCM of Fractions for 6865/90, 8330/258 is 11437090/6.