Least Common Multiple of 861/239, 767/632, 586/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/239, 767/632, 586/488 quickly i.e. 386986782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/239, 767/632, 586/488 is 386986782.

LCM(861/239, 767/632, 586/488) = 386986782

LCM of 861/239, 767/632, 586/488

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 861/239,767/632,586/488

Given numbers are 861/239,767/632,586/488

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 861,767,586

Least Common Multiple of Numerators i.e. LCM of 861,767,586 is 386986782.

GCF of Denominators means GCF of 239,632,488 as per the given fractions.

GCF of 239,632,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,767,586

LCM of Fractions 861/239,767/632,586/488 is 386986782

Given numbers has no common factors except 1. So, there LCM is their product i.e 386986782

Least Common Multiple of 861,767,586 with GCF Formula

Least Common Multiple of 861,767,586 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 861,767,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,767,586) = 1

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

GCF(861,767,586) x common factors =1 x 1 = 1

LCM(861,767,586) = ( 861 × 767 × 586 ) / 1

LCM(861,767,586) = 386986782 / 1

LCM(861,767,586) = 386986782


Lets's calculate GCF of 239,632,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386986782/1

Therefore the LCM of Fractions 861/239,767/632,586/488 is 386986782

Greatest Common Factor of 239,632,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,632,488 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 239,632,488 . The biggest common factor number is the GCF number.
So the greatest common factor 239,632,488 is 1.


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 861/239, 767/632, 586/488

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 861/239, 767/632, 586/488?

Answer: LCM of Numerators as per given numbers 861/239, 767/632, 586/488 is

LCM of Numerators i.e. for 861,767,586 is 386986782

GCF of denominators i.e. for 239,632,488 is 1.

Thus, LCM of Fractions is 386986782.Finally, LCM of Fractions for 861/239, 767/632, 586/488 is 386986782.