Least Common Multiple of 86/856, 4984/5165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/856, 4984/5165 quickly i.e. 214312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/856, 4984/5165 is 214312.

LCM(86/856, 4984/5165) = 214312

LCM of 86/856, 4984/5165

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 86/856,4984/5165

Given numbers are 86/856,4984/5165

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 86,4984

Least Common Multiple of Numerators i.e. LCM of 86,4984 is 214312.

GCF of Denominators means GCF of 856,5165 as per the given fractions.

GCF of 856,5165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,4984

LCM of Fractions 86/856,4984/5165 is 214312

2 86, 4984
43, 2492

∴ So the LCM of the given numbers is 2 x 43 x 2492 = 214312

Least Common Multiple of 86,4984 with GCF Formula

Least Common Multiple of 86,4984 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 86,4984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,4984) = 2

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

GCF(86,4984) x common factors =2 x 1 = 2

LCM(86,4984) = ( 86 × 4984 ) / 2

LCM(86,4984) = 428624 / 2

LCM(86,4984) = 214312


Lets's calculate GCF of 856,5165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214312/1

Therefore the LCM of Fractions 86/856,4984/5165 is 214312

Greatest Common Factor of 856,5165 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,5165 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1,5,1033,5165

Greatest Common Factor

We found the factors 856,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 856,5165 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 86/856, 4984/5165

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 86/856, 4984/5165?

Answer: LCM of Numerators as per given numbers 86/856, 4984/5165 is

LCM of Numerators i.e. for 86,4984 is 214312

GCF of denominators i.e. for 856,5165 is 1.

Thus, LCM of Fractions is 214312.Finally, LCM of Fractions for 86/856, 4984/5165 is 214312.