Least Common Multiple of 15/618, 673/194, 412/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/618, 673/194, 412/714 quickly i.e. 2079570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/618, 673/194, 412/714 is 2079570.

LCM(15/618, 673/194, 412/714) = 2079570

LCM of 15/618, 673/194, 412/714

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 15/618,673/194,412/714

Given numbers are 15/618,673/194,412/714

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 15,673,412

Least Common Multiple of Numerators i.e. LCM of 15,673,412 is 4159140.

GCF of Denominators means GCF of 618,194,714 as per the given fractions.

GCF of 618,194,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,673,412

LCM of Fractions 15/618,673/194,412/714 is 2079570

Given numbers has no common factors except 1. So, there LCM is their product i.e 4159140

Least Common Multiple of 15,673,412 with GCF Formula

Least Common Multiple of 15,673,412 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 15,673,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,673,412) = 1

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

GCF(15,673,412) x common factors =1 x 1 = 1

LCM(15,673,412) = ( 15 × 673 × 412 ) / 1

LCM(15,673,412) = 4159140 / 1

LCM(15,673,412) = 4159140


Lets's calculate GCF of 618,194,714

2 618, 194, 714
309, 97, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4159140/2

Therefore the LCM of Fractions 15/618,673/194,412/714 is 2079570

Greatest Common Factor of 618,194,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,194,714 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 618,194,714 . The biggest common factor number is the GCF number.
So the greatest common factor 618,194,714 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 15/618, 673/194, 412/714

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 15/618, 673/194, 412/714?

Answer: LCM of Numerators as per given numbers 15/618, 673/194, 412/714 is

LCM of Numerators i.e. for 15,673,412 is 4159140

GCF of denominators i.e. for 618,194,714 is 2.

Thus, LCM of Fractions is 2079570.Finally, LCM of Fractions for 15/618, 673/194, 412/714 is 2079570.