Least Common Multiple of 665/564, 7236/3666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/564, 7236/3666 quickly i.e. 4811940/282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/564, 7236/3666 is 4811940/282.

LCM(665/564, 7236/3666) = 4811940/282

LCM of 665/564, 7236/3666

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 665/564,7236/3666

Given numbers are 665/564,7236/3666

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 665,7236

Least Common Multiple of Numerators i.e. LCM of 665,7236 is 4811940.

GCF of Denominators means GCF of 564,3666 as per the given fractions.

GCF of 564,3666 is 282 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,7236

LCM of Fractions 665/564,7236/3666 is 4811940/282

Given numbers has no common factors except 1. So, there LCM is their product i.e 4811940

Least Common Multiple of 665,7236 with GCF Formula

Least Common Multiple of 665,7236 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 665,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,7236) = 1

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

GCF(665,7236) x common factors =1 x 1 = 1

LCM(665,7236) = ( 665 × 7236 ) / 1

LCM(665,7236) = 4811940 / 1

LCM(665,7236) = 4811940


Lets's calculate GCF of 564,3666

2 564, 3666
3 282, 1833
47 94, 611
2, 13

∴ So the GCF of the given numbers is 2 x 3 x 47 = 282

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4811940/282

Therefore the LCM of Fractions 665/564,7236/3666 is 4811940/282

Greatest Common Factor of 564,3666 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,3666 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 3666

List of positive integer factors of 3666 that divides 3666 without a remainder.

1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666

Greatest Common Factor

We found the factors 564,3666 . The biggest common factor number is the GCF number.
So the greatest common factor 564,3666 is 282.


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 665/564, 7236/3666

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 665/564, 7236/3666?

Answer: LCM of Numerators as per given numbers 665/564, 7236/3666 is

LCM of Numerators i.e. for 665,7236 is 4811940

GCF of denominators i.e. for 564,3666 is 282.

Thus, LCM of Fractions is 4811940/282.Finally, LCM of Fractions for 665/564, 7236/3666 is 4811940/282.