Least Common Multiple of 940/300, 111/592, 702/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 940/300, 111/592, 702/987 quickly i.e. 12207780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/300, 111/592, 702/987 is 12207780.

LCM(940/300, 111/592, 702/987) = 12207780

LCM of 940/300, 111/592, 702/987

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 940/300,111/592,702/987

Given numbers are 940/300,111/592,702/987

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 940,111,702

Least Common Multiple of Numerators i.e. LCM of 940,111,702 is 12207780.

GCF of Denominators means GCF of 300,592,987 as per the given fractions.

GCF of 300,592,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,111,702

LCM of Fractions 940/300,111/592,702/987 is 12207780

2 940, 111, 702
3 470, 111, 351
470, 37, 117

∴ So the LCM of the given numbers is 2 x 3 x 470 x 37 x 117 = 12207780

Least Common Multiple of 940,111,702 with GCF Formula

Least Common Multiple of 940,111,702 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 940,111,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,111,702) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(940,111,702) x common factors =1 x 6 = 6

LCM(940,111,702) = ( 940 × 111 × 702 ) / 6

LCM(940,111,702) = 73246680 / 6

LCM(940,111,702) = 12207780


Lets's calculate GCF of 300,592,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12207780/1

Therefore the LCM of Fractions 940/300,111/592,702/987 is 12207780

Greatest Common Factor of 300,592,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,592,987 By Matching Biggest Common Factor Method

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

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 300,592,987 . The biggest common factor number is the GCF number.
So the greatest common factor 300,592,987 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 940/300, 111/592, 702/987

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 940/300, 111/592, 702/987?

Answer: LCM of Numerators as per given numbers 940/300, 111/592, 702/987 is

LCM of Numerators i.e. for 940,111,702 is 12207780

GCF of denominators i.e. for 300,592,987 is 1.

Thus, LCM of Fractions is 12207780.Finally, LCM of Fractions for 940/300, 111/592, 702/987 is 12207780.