Least Common Multiple of 86/108, 12/258, 725/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/108, 12/258, 725/894 quickly i.e. 62350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/108, 12/258, 725/894 is 62350.

LCM(86/108, 12/258, 725/894) = 62350

LCM of 86/108, 12/258, 725/894

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 86/108,12/258,725/894

Given numbers are 86/108,12/258,725/894

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 86,12,725

Least Common Multiple of Numerators i.e. LCM of 86,12,725 is 374100.

GCF of Denominators means GCF of 108,258,894 as per the given fractions.

GCF of 108,258,894 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,12,725

LCM of Fractions 86/108,12/258,725/894 is 62350

2 86, 12, 725
43, 6, 725

∴ So the LCM of the given numbers is 2 x 43 x 6 x 725 = 374100

Least Common Multiple of 86,12,725 with GCF Formula

Least Common Multiple of 86,12,725 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 86,12,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,12,725) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,12,725) x common factors =1 x 2 = 2

LCM(86,12,725) = ( 86 × 12 × 725 ) / 2

LCM(86,12,725) = 748200 / 2

LCM(86,12,725) = 374100


Lets's calculate GCF of 108,258,894

2 108, 258, 894
3 54, 129, 447
18, 43, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374100/6

Therefore the LCM of Fractions 86/108,12/258,725/894 is 62350

Greatest Common Factor of 108,258,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,258,894 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 258

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

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

Factors of 894

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

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

Greatest Common Factor

We found the factors 108,258,894 . The biggest common factor number is the GCF number.
So the greatest common factor 108,258,894 is 6.


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 86/108, 12/258, 725/894

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 86/108, 12/258, 725/894?

Answer: LCM of Numerators as per given numbers 86/108, 12/258, 725/894 is

LCM of Numerators i.e. for 86,12,725 is 374100

GCF of denominators i.e. for 108,258,894 is 6.

Thus, LCM of Fractions is 62350.Finally, LCM of Fractions for 86/108, 12/258, 725/894 is 62350.