Least Common Multiple of 10/91, 40/77, 723/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/91, 40/77, 723/387 quickly i.e. 28920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/91, 40/77, 723/387 is 28920.

LCM(10/91, 40/77, 723/387) = 28920

LCM of 10/91, 40/77, 723/387

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 10/91,40/77,723/387

Given numbers are 10/91,40/77,723/387

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 10,40,723

Least Common Multiple of Numerators i.e. LCM of 10,40,723 is 28920.

GCF of Denominators means GCF of 91,77,387 as per the given fractions.

GCF of 91,77,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,40,723

LCM of Fractions 10/91,40/77,723/387 is 28920

2 10, 40, 723
5 5, 20, 723
1, 4, 723

∴ So the LCM of the given numbers is 2 x 5 x 1 x 4 x 723 = 28920

Least Common Multiple of 10,40,723 with GCF Formula

Least Common Multiple of 10,40,723 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 10,40,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,40,723) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,40,723) x common factors =1 x 10 = 10

LCM(10,40,723) = ( 10 × 40 × 723 ) / 10

LCM(10,40,723) = 289200 / 10

LCM(10,40,723) = 28920


Lets's calculate GCF of 91,77,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28920/1

Therefore the LCM of Fractions 10/91,40/77,723/387 is 28920

Greatest Common Factor of 91,77,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,77,387 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 91,77,387 . The biggest common factor number is the GCF number.
So the greatest common factor 91,77,387 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 10/91, 40/77, 723/387

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 10/91, 40/77, 723/387?

Answer: LCM of Numerators as per given numbers 10/91, 40/77, 723/387 is

LCM of Numerators i.e. for 10,40,723 is 28920

GCF of denominators i.e. for 91,77,387 is 1.

Thus, LCM of Fractions is 28920.Finally, LCM of Fractions for 10/91, 40/77, 723/387 is 28920.