Least Common Multiple of 695/21, 727/72, 412/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 695/21, 727/72, 412/984 quickly i.e. 208169180/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/21, 727/72, 412/984 is 208169180/3.

LCM(695/21, 727/72, 412/984) = 208169180/3

LCM of 695/21, 727/72, 412/984

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 695/21,727/72,412/984

Given numbers are 695/21,727/72,412/984

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 695,727,412

Least Common Multiple of Numerators i.e. LCM of 695,727,412 is 208169180.

GCF of Denominators means GCF of 21,72,984 as per the given fractions.

GCF of 21,72,984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,727,412

LCM of Fractions 695/21,727/72,412/984 is 208169180/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 208169180

Least Common Multiple of 695,727,412 with GCF Formula

Least Common Multiple of 695,727,412 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 695,727,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,727,412) = 1

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

GCF(695,727,412) x common factors =1 x 1 = 1

LCM(695,727,412) = ( 695 × 727 × 412 ) / 1

LCM(695,727,412) = 208169180 / 1

LCM(695,727,412) = 208169180


Lets's calculate GCF of 21,72,984

3 21, 72, 984
7, 24, 328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208169180/3

Therefore the LCM of Fractions 695/21,727/72,412/984 is 208169180/3

Greatest Common Factor of 21,72,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,72,984 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 21,72,984 . The biggest common factor number is the GCF number.
So the greatest common factor 21,72,984 is 3.


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 695/21, 727/72, 412/984

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 695/21, 727/72, 412/984?

Answer: LCM of Numerators as per given numbers 695/21, 727/72, 412/984 is

LCM of Numerators i.e. for 695,727,412 is 208169180

GCF of denominators i.e. for 21,72,984 is 3.

Thus, LCM of Fractions is 208169180/3.Finally, LCM of Fractions for 695/21, 727/72, 412/984 is 208169180/3.