Least Common Multiple of 91/29, 43/98, 94/86, 21/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/29, 43/98, 94/86, 21/866 quickly i.e. 1103466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/29, 43/98, 94/86, 21/866 is 1103466.

LCM(91/29, 43/98, 94/86, 21/866) = 1103466

LCM of 91/29, 43/98, 94/86, 21/866

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 91/29,43/98,94/86,21/866

Given numbers are 91/29,43/98,94/86,21/866

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 91,43,94,21

Least Common Multiple of Numerators i.e. LCM of 91,43,94,21 is 1103466.

GCF of Denominators means GCF of 29,98,86,866 as per the given fractions.

GCF of 29,98,86,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,43,94,21

LCM of Fractions 91/29,43/98,94/86,21/866 is 1103466

7 91, 43, 94, 21
13, 43, 94, 3

∴ So the LCM of the given numbers is 7 x 13 x 43 x 94 x 3 = 1103466

Least Common Multiple of 91,43,94,21 with GCF Formula

Least Common Multiple of 91,43,94,21 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 91,43,94,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,43,94,21) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,43,94,21) x common factors =1 x 7 = 7

LCM(91,43,94,21) = ( 91 × 43 × 94 × 21 ) / 7

LCM(91,43,94,21) = 7724262 / 7

LCM(91,43,94,21) = 1103466


Lets's calculate GCF of 29,98,86,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103466/1

Therefore the LCM of Fractions 91/29,43/98,94/86,21/866 is 1103466

Greatest Common Factor of 29,98,86,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,98,86,866 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 29,98,86,866 . The biggest common factor number is the GCF number.
So the greatest common factor 29,98,86,866 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/29, 43/98, 94/86, 21/866

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 91/29, 43/98, 94/86, 21/866?

Answer: LCM of Numerators as per given numbers 91/29, 43/98, 94/86, 21/866 is

LCM of Numerators i.e. for 91,43,94,21 is 1103466

GCF of denominators i.e. for 29,98,86,866 is 1.

Thus, LCM of Fractions is 1103466.Finally, LCM of Fractions for 91/29, 43/98, 94/86, 21/866 is 1103466.