Least Common Multiple of 279/86, 581/24, 875/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/86, 581/24, 875/610 quickly i.e. 20262375/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/86, 581/24, 875/610 is 20262375/2.

LCM(279/86, 581/24, 875/610) = 20262375/2

LCM of 279/86, 581/24, 875/610

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 279/86,581/24,875/610

Given numbers are 279/86,581/24,875/610

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 279,581,875

Least Common Multiple of Numerators i.e. LCM of 279,581,875 is 20262375.

GCF of Denominators means GCF of 86,24,610 as per the given fractions.

GCF of 86,24,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,581,875

LCM of Fractions 279/86,581/24,875/610 is 20262375/2

7 279, 581, 875
279, 83, 125

∴ So the LCM of the given numbers is 7 x 279 x 83 x 125 = 20262375

Least Common Multiple of 279,581,875 with GCF Formula

Least Common Multiple of 279,581,875 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 279,581,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,581,875) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(279,581,875) x common factors =1 x 7 = 7

LCM(279,581,875) = ( 279 × 581 × 875 ) / 7

LCM(279,581,875) = 141836625 / 7

LCM(279,581,875) = 20262375


Lets's calculate GCF of 86,24,610

2 86, 24, 610
43, 12, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20262375/2

Therefore the LCM of Fractions 279/86,581/24,875/610 is 20262375/2

Greatest Common Factor of 86,24,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,24,610 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 86,24,610 . The biggest common factor number is the GCF number.
So the greatest common factor 86,24,610 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 279/86, 581/24, 875/610

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 279/86, 581/24, 875/610?

Answer: LCM of Numerators as per given numbers 279/86, 581/24, 875/610 is

LCM of Numerators i.e. for 279,581,875 is 20262375

GCF of denominators i.e. for 86,24,610 is 2.

Thus, LCM of Fractions is 20262375/2.Finally, LCM of Fractions for 279/86, 581/24, 875/610 is 20262375/2.