Least Common Multiple of 1407/618, 6616/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1407/618, 6616/338 quickly i.e. 4654356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1407/618, 6616/338 is 4654356.

LCM(1407/618, 6616/338) = 4654356

LCM of 1407/618, 6616/338

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 1407/618,6616/338

Given numbers are 1407/618,6616/338

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 1407,6616

Least Common Multiple of Numerators i.e. LCM of 1407,6616 is 9308712.

GCF of Denominators means GCF of 618,338 as per the given fractions.

GCF of 618,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1407,6616

LCM of Fractions 1407/618,6616/338 is 4654356

Given numbers has no common factors except 1. So, there LCM is their product i.e 9308712

Least Common Multiple of 1407,6616 with GCF Formula

Least Common Multiple of 1407,6616 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 1407,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1407,6616) = 1

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

GCF(1407,6616) x common factors =1 x 1 = 1

LCM(1407,6616) = ( 1407 × 6616 ) / 1

LCM(1407,6616) = 9308712 / 1

LCM(1407,6616) = 9308712


Lets's calculate GCF of 618,338

2 618, 338
309, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9308712/2

Therefore the LCM of Fractions 1407/618,6616/338 is 4654356

Greatest Common Factor of 618,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,338 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 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 618,338 . The biggest common factor number is the GCF number.
So the greatest common factor 618,338 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 1407/618, 6616/338

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 1407/618, 6616/338?

Answer: LCM of Numerators as per given numbers 1407/618, 6616/338 is

LCM of Numerators i.e. for 1407,6616 is 9308712

GCF of denominators i.e. for 618,338 is 2.

Thus, LCM of Fractions is 4654356.Finally, LCM of Fractions for 1407/618, 6616/338 is 4654356.