Least Common Multiple of 42/54, 91/15, 83/33, 36/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/54, 91/15, 83/33, 36/786 quickly i.e. 90636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/54, 91/15, 83/33, 36/786 is 90636.

LCM(42/54, 91/15, 83/33, 36/786) = 90636

LCM of 42/54, 91/15, 83/33, 36/786

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 42/54,91/15,83/33,36/786

Given numbers are 42/54,91/15,83/33,36/786

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 42,91,83,36

Least Common Multiple of Numerators i.e. LCM of 42,91,83,36 is 271908.

GCF of Denominators means GCF of 54,15,33,786 as per the given fractions.

GCF of 54,15,33,786 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,91,83,36

LCM of Fractions 42/54,91/15,83/33,36/786 is 90636

2 42, 91, 83, 36
3 21, 91, 83, 18
7 7, 91, 83, 6
1, 13, 83, 6

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 13 x 83 x 6 = 271908

Least Common Multiple of 42,91,83,36 with GCF Formula

Least Common Multiple of 42,91,83,36 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 42,91,83,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,91,83,36) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,91,83,36) x common factors =1 x 42 = 42

LCM(42,91,83,36) = ( 42 × 91 × 83 × 36 ) / 42

LCM(42,91,83,36) = 11420136 / 42

LCM(42,91,83,36) = 271908


Lets's calculate GCF of 54,15,33,786

3 54, 15, 33, 786
18, 5, 11, 262

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271908/3

Therefore the LCM of Fractions 42/54,91/15,83/33,36/786 is 90636

Greatest Common Factor of 54,15,33,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,15,33,786 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 54,15,33,786 . The biggest common factor number is the GCF number.
So the greatest common factor 54,15,33,786 is 3.


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 42/54, 91/15, 83/33, 36/786

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 42/54, 91/15, 83/33, 36/786?

Answer: LCM of Numerators as per given numbers 42/54, 91/15, 83/33, 36/786 is

LCM of Numerators i.e. for 42,91,83,36 is 271908

GCF of denominators i.e. for 54,15,33,786 is 3.

Thus, LCM of Fractions is 90636.Finally, LCM of Fractions for 42/54, 91/15, 83/33, 36/786 is 90636.