Least Common Multiple of 588/21, 218/7055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/21, 218/7055 quickly i.e. 64092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/21, 218/7055 is 64092.

LCM(588/21, 218/7055) = 64092

LCM of 588/21, 218/7055

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 588/21,218/7055

Given numbers are 588/21,218/7055

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 588,218

Least Common Multiple of Numerators i.e. LCM of 588,218 is 64092.

GCF of Denominators means GCF of 21,7055 as per the given fractions.

GCF of 21,7055 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,218

LCM of Fractions 588/21,218/7055 is 64092

2 588, 218
294, 109

∴ So the LCM of the given numbers is 2 x 294 x 109 = 64092

Least Common Multiple of 588,218 with GCF Formula

Least Common Multiple of 588,218 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 588,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,218) = 2

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

GCF(588,218) x common factors =2 x 1 = 2

LCM(588,218) = ( 588 × 218 ) / 2

LCM(588,218) = 128184 / 2

LCM(588,218) = 64092


Lets's calculate GCF of 21,7055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64092/1

Therefore the LCM of Fractions 588/21,218/7055 is 64092

Greatest Common Factor of 21,7055 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,7055 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 7055

List of positive integer factors of 7055 that divides 7055 without a remainder.

1,5,17,83,85,415,1411,7055

Greatest Common Factor

We found the factors 21,7055 . The biggest common factor number is the GCF number.
So the greatest common factor 21,7055 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 588/21, 218/7055

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 588/21, 218/7055?

Answer: LCM of Numerators as per given numbers 588/21, 218/7055 is

LCM of Numerators i.e. for 588,218 is 64092

GCF of denominators i.e. for 21,7055 is 1.

Thus, LCM of Fractions is 64092.Finally, LCM of Fractions for 588/21, 218/7055 is 64092.