Least Common Multiple of 9921/940, 9585/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9921/940, 9585/775 quickly i.e. 6339519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9921/940, 9585/775 is 6339519.

LCM(9921/940, 9585/775) = 6339519

LCM of 9921/940, 9585/775

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 9921/940,9585/775

Given numbers are 9921/940,9585/775

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 9921,9585

Least Common Multiple of Numerators i.e. LCM of 9921,9585 is 31697595.

GCF of Denominators means GCF of 940,775 as per the given fractions.

GCF of 940,775 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9921,9585

LCM of Fractions 9921/940,9585/775 is 6339519

3 9921, 9585
3307, 3195

∴ So the LCM of the given numbers is 3 x 3307 x 3195 = 31697595

Least Common Multiple of 9921,9585 with GCF Formula

Least Common Multiple of 9921,9585 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 9921,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9921,9585) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(9921,9585) x common factors =3 x 1 = 3

LCM(9921,9585) = ( 9921 × 9585 ) / 3

LCM(9921,9585) = 95092785 / 3

LCM(9921,9585) = 31697595


Lets's calculate GCF of 940,775

5 940, 775
188, 155

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31697595/5

Therefore the LCM of Fractions 9921/940,9585/775 is 6339519

Greatest Common Factor of 940,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,775 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 940,775 . The biggest common factor number is the GCF number.
So the greatest common factor 940,775 is 5.


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 9921/940, 9585/775

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 9921/940, 9585/775?

Answer: LCM of Numerators as per given numbers 9921/940, 9585/775 is

LCM of Numerators i.e. for 9921,9585 is 31697595

GCF of denominators i.e. for 940,775 is 5.

Thus, LCM of Fractions is 6339519.Finally, LCM of Fractions for 9921/940, 9585/775 is 6339519.