Least Common Multiple of 218/83, 984/6447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/83, 984/6447 quickly i.e. 107256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/83, 984/6447 is 107256.

LCM(218/83, 984/6447) = 107256

LCM of 218/83, 984/6447

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 218/83,984/6447

Given numbers are 218/83,984/6447

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 218,984

Least Common Multiple of Numerators i.e. LCM of 218,984 is 107256.

GCF of Denominators means GCF of 83,6447 as per the given fractions.

GCF of 83,6447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,984

LCM of Fractions 218/83,984/6447 is 107256

2 218, 984
109, 492

∴ So the LCM of the given numbers is 2 x 109 x 492 = 107256

Least Common Multiple of 218,984 with GCF Formula

Least Common Multiple of 218,984 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 218,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,984) = 2

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

GCF(218,984) x common factors =2 x 1 = 2

LCM(218,984) = ( 218 × 984 ) / 2

LCM(218,984) = 214512 / 2

LCM(218,984) = 107256


Lets's calculate GCF of 83,6447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107256/1

Therefore the LCM of Fractions 218/83,984/6447 is 107256

Greatest Common Factor of 83,6447 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,6447 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 6447

List of positive integer factors of 6447 that divides 6447 without a remainder.

1,3,7,21,307,921,2149,6447

Greatest Common Factor

We found the factors 83,6447 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6447 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 218/83, 984/6447

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 218/83, 984/6447?

Answer: LCM of Numerators as per given numbers 218/83, 984/6447 is

LCM of Numerators i.e. for 218,984 is 107256

GCF of denominators i.e. for 83,6447 is 1.

Thus, LCM of Fractions is 107256.Finally, LCM of Fractions for 218/83, 984/6447 is 107256.