Least Common Multiple of 863/36, 104/82, 710/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 863/36, 104/82, 710/681 quickly i.e. 31861960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/36, 104/82, 710/681 is 31861960.

LCM(863/36, 104/82, 710/681) = 31861960

LCM of 863/36, 104/82, 710/681

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 863/36,104/82,710/681

Given numbers are 863/36,104/82,710/681

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 863,104,710

Least Common Multiple of Numerators i.e. LCM of 863,104,710 is 31861960.

GCF of Denominators means GCF of 36,82,681 as per the given fractions.

GCF of 36,82,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,104,710

LCM of Fractions 863/36,104/82,710/681 is 31861960

2 863, 104, 710
863, 52, 355

∴ So the LCM of the given numbers is 2 x 863 x 52 x 355 = 31861960

Least Common Multiple of 863,104,710 with GCF Formula

Least Common Multiple of 863,104,710 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 863,104,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,104,710) = 1

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

GCF(863,104,710) x common factors =1 x 2 = 2

LCM(863,104,710) = ( 863 × 104 × 710 ) / 2

LCM(863,104,710) = 63723920 / 2

LCM(863,104,710) = 31861960


Lets's calculate GCF of 36,82,681

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31861960/1

Therefore the LCM of Fractions 863/36,104/82,710/681 is 31861960

Greatest Common Factor of 36,82,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,82,681 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 36,82,681 . The biggest common factor number is the GCF number.
So the greatest common factor 36,82,681 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 863/36, 104/82, 710/681

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 863/36, 104/82, 710/681?

Answer: LCM of Numerators as per given numbers 863/36, 104/82, 710/681 is

LCM of Numerators i.e. for 863,104,710 is 31861960

GCF of denominators i.e. for 36,82,681 is 1.

Thus, LCM of Fractions is 31861960.Finally, LCM of Fractions for 863/36, 104/82, 710/681 is 31861960.