Least Common Multiple of 91/46, 678/74, 369/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/46, 678/74, 369/305 quickly i.e. 7588854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/46, 678/74, 369/305 is 7588854.

LCM(91/46, 678/74, 369/305) = 7588854

LCM of 91/46, 678/74, 369/305

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 91/46,678/74,369/305

Given numbers are 91/46,678/74,369/305

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 91,678,369

Least Common Multiple of Numerators i.e. LCM of 91,678,369 is 7588854.

GCF of Denominators means GCF of 46,74,305 as per the given fractions.

GCF of 46,74,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,678,369

LCM of Fractions 91/46,678/74,369/305 is 7588854

3 91, 678, 369
91, 226, 123

∴ So the LCM of the given numbers is 3 x 91 x 226 x 123 = 7588854

Least Common Multiple of 91,678,369 with GCF Formula

Least Common Multiple of 91,678,369 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 91,678,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,678,369) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(91,678,369) x common factors =1 x 3 = 3

LCM(91,678,369) = ( 91 × 678 × 369 ) / 3

LCM(91,678,369) = 22766562 / 3

LCM(91,678,369) = 7588854


Lets's calculate GCF of 46,74,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7588854/1

Therefore the LCM of Fractions 91/46,678/74,369/305 is 7588854

Greatest Common Factor of 46,74,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,74,305 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 46,74,305 . The biggest common factor number is the GCF number.
So the greatest common factor 46,74,305 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 91/46, 678/74, 369/305

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 91/46, 678/74, 369/305?

Answer: LCM of Numerators as per given numbers 91/46, 678/74, 369/305 is

LCM of Numerators i.e. for 91,678,369 is 7588854

GCF of denominators i.e. for 46,74,305 is 1.

Thus, LCM of Fractions is 7588854.Finally, LCM of Fractions for 91/46, 678/74, 369/305 is 7588854.