Least Common Multiple of 91/92, 39/34, 858/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/92, 39/34, 858/36 quickly i.e. 3003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/92, 39/34, 858/36 is 3003.

LCM(91/92, 39/34, 858/36) = 3003

LCM of 91/92, 39/34, 858/36

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 91/92,39/34,858/36

Given numbers are 91/92,39/34,858/36

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 91,39,858

Least Common Multiple of Numerators i.e. LCM of 91,39,858 is 6006.

GCF of Denominators means GCF of 92,34,36 as per the given fractions.

GCF of 92,34,36 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,39,858

LCM of Fractions 91/92,39/34,858/36 is 3003

3 91, 39, 858
13 91, 13, 286
7, 1, 22

∴ So the LCM of the given numbers is 3 x 13 x 7 x 1 x 22 = 6006

Least Common Multiple of 91,39,858 with GCF Formula

Least Common Multiple of 91,39,858 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 91,39,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,39,858) = 13

common factors(in case of two or more numbers have common factors) = 39

GCF(91,39,858) x common factors =13 x 39 = 507

LCM(91,39,858) = ( 91 × 39 × 858 ) / 507

LCM(91,39,858) = 3045042 / 507

LCM(91,39,858) = 6006


Lets's calculate GCF of 92,34,36

2 92, 34, 36
46, 17, 18

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6006/2

Therefore the LCM of Fractions 91/92,39/34,858/36 is 3003

Greatest Common Factor of 92,34,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,34,36 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 92,34,36 . The biggest common factor number is the GCF number.
So the greatest common factor 92,34,36 is 2.


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Frequently Asked Questions on Fractional LCM of 91/92, 39/34, 858/36

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 91/92, 39/34, 858/36?

Answer: LCM of Numerators as per given numbers 91/92, 39/34, 858/36 is

LCM of Numerators i.e. for 91,39,858 is 6006

GCF of denominators i.e. for 92,34,36 is 2.

Thus, LCM of Fractions is 3003.Finally, LCM of Fractions for 91/92, 39/34, 858/36 is 3003.