Least Common Multiple of 368/65, 564/19, 225/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/65, 564/19, 225/706 quickly i.e. 3891600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/65, 564/19, 225/706 is 3891600.

LCM(368/65, 564/19, 225/706) = 3891600

LCM of 368/65, 564/19, 225/706

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 368/65,564/19,225/706

Given numbers are 368/65,564/19,225/706

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 368,564,225

Least Common Multiple of Numerators i.e. LCM of 368,564,225 is 3891600.

GCF of Denominators means GCF of 65,19,706 as per the given fractions.

GCF of 65,19,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,564,225

LCM of Fractions 368/65,564/19,225/706 is 3891600

2 368, 564, 225
2 184, 282, 225
3 92, 141, 225
92, 47, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 92 x 47 x 75 = 3891600

Least Common Multiple of 368,564,225 with GCF Formula

Least Common Multiple of 368,564,225 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 368,564,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,564,225) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(368,564,225) x common factors =1 x 12 = 12

LCM(368,564,225) = ( 368 × 564 × 225 ) / 12

LCM(368,564,225) = 46699200 / 12

LCM(368,564,225) = 3891600


Lets's calculate GCF of 65,19,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3891600/1

Therefore the LCM of Fractions 368/65,564/19,225/706 is 3891600

Greatest Common Factor of 65,19,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,19,706 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 65,19,706 . The biggest common factor number is the GCF number.
So the greatest common factor 65,19,706 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 368/65, 564/19, 225/706

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 368/65, 564/19, 225/706?

Answer: LCM of Numerators as per given numbers 368/65, 564/19, 225/706 is

LCM of Numerators i.e. for 368,564,225 is 3891600

GCF of denominators i.e. for 65,19,706 is 1.

Thus, LCM of Fractions is 3891600.Finally, LCM of Fractions for 368/65, 564/19, 225/706 is 3891600.