Least Common Multiple of 46/86, 854/71, 522/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/86, 854/71, 522/983 quickly i.e. 5126562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/86, 854/71, 522/983 is 5126562.

LCM(46/86, 854/71, 522/983) = 5126562

LCM of 46/86, 854/71, 522/983

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 46/86,854/71,522/983

Given numbers are 46/86,854/71,522/983

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 46,854,522

Least Common Multiple of Numerators i.e. LCM of 46,854,522 is 5126562.

GCF of Denominators means GCF of 86,71,983 as per the given fractions.

GCF of 86,71,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,854,522

LCM of Fractions 46/86,854/71,522/983 is 5126562

2 46, 854, 522
23, 427, 261

∴ So the LCM of the given numbers is 2 x 23 x 427 x 261 = 5126562

Least Common Multiple of 46,854,522 with GCF Formula

Least Common Multiple of 46,854,522 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 46,854,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,854,522) = 2

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

GCF(46,854,522) x common factors =2 x 2 = 4

LCM(46,854,522) = ( 46 × 854 × 522 ) / 4

LCM(46,854,522) = 20506248 / 4

LCM(46,854,522) = 5126562


Lets's calculate GCF of 86,71,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5126562/1

Therefore the LCM of Fractions 46/86,854/71,522/983 is 5126562

Greatest Common Factor of 86,71,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,71,983 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 86,71,983 . The biggest common factor number is the GCF number.
So the greatest common factor 86,71,983 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/86, 854/71, 522/983

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 46/86, 854/71, 522/983?

Answer: LCM of Numerators as per given numbers 46/86, 854/71, 522/983 is

LCM of Numerators i.e. for 46,854,522 is 5126562

GCF of denominators i.e. for 86,71,983 is 1.

Thus, LCM of Fractions is 5126562.Finally, LCM of Fractions for 46/86, 854/71, 522/983 is 5126562.