Least Common Multiple of 33/91, 38/84, 79/54, 41/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/91, 38/84, 79/54, 41/678 quickly i.e. 4061706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/91, 38/84, 79/54, 41/678 is 4061706.

LCM(33/91, 38/84, 79/54, 41/678) = 4061706

LCM of 33/91, 38/84, 79/54, 41/678

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 33/91,38/84,79/54,41/678

Given numbers are 33/91,38/84,79/54,41/678

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 33,38,79,41

Least Common Multiple of Numerators i.e. LCM of 33,38,79,41 is 4061706.

GCF of Denominators means GCF of 91,84,54,678 as per the given fractions.

GCF of 91,84,54,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,38,79,41

LCM of Fractions 33/91,38/84,79/54,41/678 is 4061706

Given numbers has no common factors except 1. So, there LCM is their product i.e 4061706

Least Common Multiple of 33,38,79,41 with GCF Formula

Least Common Multiple of 33,38,79,41 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 33,38,79,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,38,79,41) = 1

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

GCF(33,38,79,41) x common factors =1 x 1 = 1

LCM(33,38,79,41) = ( 33 × 38 × 79 × 41 ) / 1

LCM(33,38,79,41) = 4061706 / 1

LCM(33,38,79,41) = 4061706


Lets's calculate GCF of 91,84,54,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4061706/1

Therefore the LCM of Fractions 33/91,38/84,79/54,41/678 is 4061706

Greatest Common Factor of 91,84,54,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,84,54,678 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 91,84,54,678 . The biggest common factor number is the GCF number.
So the greatest common factor 91,84,54,678 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/91, 38/84, 79/54, 41/678

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 33/91, 38/84, 79/54, 41/678?

Answer: LCM of Numerators as per given numbers 33/91, 38/84, 79/54, 41/678 is

LCM of Numerators i.e. for 33,38,79,41 is 4061706

GCF of denominators i.e. for 91,84,54,678 is 1.

Thus, LCM of Fractions is 4061706.Finally, LCM of Fractions for 33/91, 38/84, 79/54, 41/678 is 4061706.