Least Common Multiple of 40/23, 958/62, 379/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/23, 958/62, 379/300 quickly i.e. 7261640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/23, 958/62, 379/300 is 7261640.

LCM(40/23, 958/62, 379/300) = 7261640

LCM of 40/23, 958/62, 379/300

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 40/23,958/62,379/300

Given numbers are 40/23,958/62,379/300

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 40,958,379

Least Common Multiple of Numerators i.e. LCM of 40,958,379 is 7261640.

GCF of Denominators means GCF of 23,62,300 as per the given fractions.

GCF of 23,62,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,958,379

LCM of Fractions 40/23,958/62,379/300 is 7261640

2 40, 958, 379
20, 479, 379

∴ So the LCM of the given numbers is 2 x 20 x 479 x 379 = 7261640

Least Common Multiple of 40,958,379 with GCF Formula

Least Common Multiple of 40,958,379 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 40,958,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,958,379) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,958,379) x common factors =1 x 2 = 2

LCM(40,958,379) = ( 40 × 958 × 379 ) / 2

LCM(40,958,379) = 14523280 / 2

LCM(40,958,379) = 7261640


Lets's calculate GCF of 23,62,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7261640/1

Therefore the LCM of Fractions 40/23,958/62,379/300 is 7261640

Greatest Common Factor of 23,62,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,62,300 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 23,62,300 . The biggest common factor number is the GCF number.
So the greatest common factor 23,62,300 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 40/23, 958/62, 379/300

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 40/23, 958/62, 379/300?

Answer: LCM of Numerators as per given numbers 40/23, 958/62, 379/300 is

LCM of Numerators i.e. for 40,958,379 is 7261640

GCF of denominators i.e. for 23,62,300 is 1.

Thus, LCM of Fractions is 7261640.Finally, LCM of Fractions for 40/23, 958/62, 379/300 is 7261640.