Least Common Multiple of 11/82, 26/43, 85/53, 618/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/82, 26/43, 85/53, 618/21 quickly i.e. 7511790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/82, 26/43, 85/53, 618/21 is 7511790.

LCM(11/82, 26/43, 85/53, 618/21) = 7511790

LCM of 11/82, 26/43, 85/53, 618/21

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 11/82,26/43,85/53,618/21

Given numbers are 11/82,26/43,85/53,618/21

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 11,26,85,618

Least Common Multiple of Numerators i.e. LCM of 11,26,85,618 is 7511790.

GCF of Denominators means GCF of 82,43,53,21 as per the given fractions.

GCF of 82,43,53,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,26,85,618

LCM of Fractions 11/82,26/43,85/53,618/21 is 7511790

2 11, 26, 85, 618
11, 13, 85, 309

∴ So the LCM of the given numbers is 2 x 11 x 13 x 85 x 309 = 7511790

Least Common Multiple of 11,26,85,618 with GCF Formula

Least Common Multiple of 11,26,85,618 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 11,26,85,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,26,85,618) = 1

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

GCF(11,26,85,618) x common factors =1 x 2 = 2

LCM(11,26,85,618) = ( 11 × 26 × 85 × 618 ) / 2

LCM(11,26,85,618) = 15023580 / 2

LCM(11,26,85,618) = 7511790


Lets's calculate GCF of 82,43,53,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7511790/1

Therefore the LCM of Fractions 11/82,26/43,85/53,618/21 is 7511790

Greatest Common Factor of 82,43,53,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,43,53,21 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 21

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

1,3,7,21

Greatest Common Factor

We found the factors 82,43,53,21 . The biggest common factor number is the GCF number.
So the greatest common factor 82,43,53,21 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 11/82, 26/43, 85/53, 618/21

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 11/82, 26/43, 85/53, 618/21?

Answer: LCM of Numerators as per given numbers 11/82, 26/43, 85/53, 618/21 is

LCM of Numerators i.e. for 11,26,85,618 is 7511790

GCF of denominators i.e. for 82,43,53,21 is 1.

Thus, LCM of Fractions is 7511790.Finally, LCM of Fractions for 11/82, 26/43, 85/53, 618/21 is 7511790.