Least Common Multiple of 91/678, 377/445, 653/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/678, 377/445, 653/786 quickly i.e. 1723267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/678, 377/445, 653/786 is 1723267.

LCM(91/678, 377/445, 653/786) = 1723267

LCM of 91/678, 377/445, 653/786

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 91/678,377/445,653/786

Given numbers are 91/678,377/445,653/786

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 91,377,653

Least Common Multiple of Numerators i.e. LCM of 91,377,653 is 1723267.

GCF of Denominators means GCF of 678,445,786 as per the given fractions.

GCF of 678,445,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,377,653

LCM of Fractions 91/678,377/445,653/786 is 1723267

13 91, 377, 653
7, 29, 653

∴ So the LCM of the given numbers is 13 x 7 x 29 x 653 = 1723267

Least Common Multiple of 91,377,653 with GCF Formula

Least Common Multiple of 91,377,653 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 91,377,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,377,653) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,377,653) x common factors =1 x 13 = 13

LCM(91,377,653) = ( 91 × 377 × 653 ) / 13

LCM(91,377,653) = 22402471 / 13

LCM(91,377,653) = 1723267


Lets's calculate GCF of 678,445,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1723267/1

Therefore the LCM of Fractions 91/678,377/445,653/786 is 1723267

Greatest Common Factor of 678,445,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,445,786 By Matching Biggest Common Factor Method

Factors of 678

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

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

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

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 678,445,786 . The biggest common factor number is the GCF number.
So the greatest common factor 678,445,786 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 91/678, 377/445, 653/786

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 91/678, 377/445, 653/786?

Answer: LCM of Numerators as per given numbers 91/678, 377/445, 653/786 is

LCM of Numerators i.e. for 91,377,653 is 1723267

GCF of denominators i.e. for 678,445,786 is 1.

Thus, LCM of Fractions is 1723267.Finally, LCM of Fractions for 91/678, 377/445, 653/786 is 1723267.