Least Common Multiple of 5637/362, 4040/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5637/362, 4040/6966 quickly i.e. 11386740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5637/362, 4040/6966 is 11386740.

LCM(5637/362, 4040/6966) = 11386740

LCM of 5637/362, 4040/6966

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 5637/362,4040/6966

Given numbers are 5637/362,4040/6966

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 5637,4040

Least Common Multiple of Numerators i.e. LCM of 5637,4040 is 22773480.

GCF of Denominators means GCF of 362,6966 as per the given fractions.

GCF of 362,6966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5637,4040

LCM of Fractions 5637/362,4040/6966 is 11386740

Given numbers has no common factors except 1. So, there LCM is their product i.e 22773480

Least Common Multiple of 5637,4040 with GCF Formula

Least Common Multiple of 5637,4040 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 5637,4040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5637,4040) = 1

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

GCF(5637,4040) x common factors =1 x 1 = 1

LCM(5637,4040) = ( 5637 × 4040 ) / 1

LCM(5637,4040) = 22773480 / 1

LCM(5637,4040) = 22773480


Lets's calculate GCF of 362,6966

2 362, 6966
181, 3483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22773480/2

Therefore the LCM of Fractions 5637/362,4040/6966 is 11386740

Greatest Common Factor of 362,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,6966 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 362,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 362,6966 is 2.


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 5637/362, 4040/6966

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 5637/362, 4040/6966?

Answer: LCM of Numerators as per given numbers 5637/362, 4040/6966 is

LCM of Numerators i.e. for 5637,4040 is 22773480

GCF of denominators i.e. for 362,6966 is 2.

Thus, LCM of Fractions is 11386740.Finally, LCM of Fractions for 5637/362, 4040/6966 is 11386740.