Least Common Multiple of 862/634, 583/271, 539/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 862/634, 583/271, 539/837 quickly i.e. 24624754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/634, 583/271, 539/837 is 24624754.

LCM(862/634, 583/271, 539/837) = 24624754

LCM of 862/634, 583/271, 539/837

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 862/634,583/271,539/837

Given numbers are 862/634,583/271,539/837

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 862,583,539

Least Common Multiple of Numerators i.e. LCM of 862,583,539 is 24624754.

GCF of Denominators means GCF of 634,271,837 as per the given fractions.

GCF of 634,271,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,583,539

LCM of Fractions 862/634,583/271,539/837 is 24624754

11 862, 583, 539
862, 53, 49

∴ So the LCM of the given numbers is 11 x 862 x 53 x 49 = 24624754

Least Common Multiple of 862,583,539 with GCF Formula

Least Common Multiple of 862,583,539 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 862,583,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,583,539) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(862,583,539) x common factors =1 x 11 = 11

LCM(862,583,539) = ( 862 × 583 × 539 ) / 11

LCM(862,583,539) = 270872294 / 11

LCM(862,583,539) = 24624754


Lets's calculate GCF of 634,271,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24624754/1

Therefore the LCM of Fractions 862/634,583/271,539/837 is 24624754

Greatest Common Factor of 634,271,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,271,837 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 634,271,837 . The biggest common factor number is the GCF number.
So the greatest common factor 634,271,837 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 862/634, 583/271, 539/837

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 862/634, 583/271, 539/837?

Answer: LCM of Numerators as per given numbers 862/634, 583/271, 539/837 is

LCM of Numerators i.e. for 862,583,539 is 24624754

GCF of denominators i.e. for 634,271,837 is 1.

Thus, LCM of Fractions is 24624754.Finally, LCM of Fractions for 862/634, 583/271, 539/837 is 24624754.