Least Common Multiple of 288/21, 419/35, 679/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/21, 419/35, 679/392 quickly i.e. 11705184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/21, 419/35, 679/392 is 11705184.

LCM(288/21, 419/35, 679/392) = 11705184

LCM of 288/21, 419/35, 679/392

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 288/21,419/35,679/392

Given numbers are 288/21,419/35,679/392

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 288,419,679

Least Common Multiple of Numerators i.e. LCM of 288,419,679 is 81936288.

GCF of Denominators means GCF of 21,35,392 as per the given fractions.

GCF of 21,35,392 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,419,679

LCM of Fractions 288/21,419/35,679/392 is 11705184

Given numbers has no common factors except 1. So, there LCM is their product i.e 81936288

Least Common Multiple of 288,419,679 with GCF Formula

Least Common Multiple of 288,419,679 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 288,419,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,419,679) = 1

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

GCF(288,419,679) x common factors =1 x 1 = 1

LCM(288,419,679) = ( 288 × 419 × 679 ) / 1

LCM(288,419,679) = 81936288 / 1

LCM(288,419,679) = 81936288


Lets's calculate GCF of 21,35,392

7 21, 35, 392
3, 5, 56

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81936288/7

Therefore the LCM of Fractions 288/21,419/35,679/392 is 11705184

Greatest Common Factor of 21,35,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,35,392 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 21,35,392 . The biggest common factor number is the GCF number.
So the greatest common factor 21,35,392 is 7.


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 288/21, 419/35, 679/392

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 288/21, 419/35, 679/392?

Answer: LCM of Numerators as per given numbers 288/21, 419/35, 679/392 is

LCM of Numerators i.e. for 288,419,679 is 81936288

GCF of denominators i.e. for 21,35,392 is 7.

Thus, LCM of Fractions is 11705184.Finally, LCM of Fractions for 288/21, 419/35, 679/392 is 11705184.