Least Common Multiple of 21/940, 8957/3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/940, 8957/3385 quickly i.e. 188097/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/940, 8957/3385 is 188097/5.

LCM(21/940, 8957/3385) = 188097/5

LCM of 21/940, 8957/3385

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 21/940,8957/3385

Given numbers are 21/940,8957/3385

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 21,8957

Least Common Multiple of Numerators i.e. LCM of 21,8957 is 188097.

GCF of Denominators means GCF of 940,3385 as per the given fractions.

GCF of 940,3385 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,8957

LCM of Fractions 21/940,8957/3385 is 188097/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 188097

Least Common Multiple of 21,8957 with GCF Formula

Least Common Multiple of 21,8957 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 21,8957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8957) = 1

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

GCF(21,8957) x common factors =1 x 1 = 1

LCM(21,8957) = ( 21 × 8957 ) / 1

LCM(21,8957) = 188097 / 1

LCM(21,8957) = 188097


Lets's calculate GCF of 940,3385

5 940, 3385
188, 677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188097/5

Therefore the LCM of Fractions 21/940,8957/3385 is 188097/5

Greatest Common Factor of 940,3385 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,3385 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 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1,5,677,3385

Greatest Common Factor

We found the factors 940,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 940,3385 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 21/940, 8957/3385

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 21/940, 8957/3385?

Answer: LCM of Numerators as per given numbers 21/940, 8957/3385 is

LCM of Numerators i.e. for 21,8957 is 188097

GCF of denominators i.e. for 940,3385 is 5.

Thus, LCM of Fractions is 188097/5.Finally, LCM of Fractions for 21/940, 8957/3385 is 188097/5.