Least Common Multiple of 7382/168, 5402/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7382/168, 5402/666 quickly i.e. 19938782/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7382/168, 5402/666 is 19938782/6.

LCM(7382/168, 5402/666) = 19938782/6

LCM of 7382/168, 5402/666

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 7382/168,5402/666

Given numbers are 7382/168,5402/666

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 7382,5402

Least Common Multiple of Numerators i.e. LCM of 7382,5402 is 19938782.

GCF of Denominators means GCF of 168,666 as per the given fractions.

GCF of 168,666 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7382,5402

LCM of Fractions 7382/168,5402/666 is 19938782/6

2 7382, 5402
3691, 2701

∴ So the LCM of the given numbers is 2 x 3691 x 2701 = 19938782

Least Common Multiple of 7382,5402 with GCF Formula

Least Common Multiple of 7382,5402 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 7382,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7382,5402) = 2

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

GCF(7382,5402) x common factors =2 x 1 = 2

LCM(7382,5402) = ( 7382 × 5402 ) / 2

LCM(7382,5402) = 39877564 / 2

LCM(7382,5402) = 19938782


Lets's calculate GCF of 168,666

2 168, 666
3 84, 333
28, 111

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19938782/6

Therefore the LCM of Fractions 7382/168,5402/666 is 19938782/6

Greatest Common Factor of 168,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,666 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 168,666 . The biggest common factor number is the GCF number.
So the greatest common factor 168,666 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7382/168, 5402/666

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 7382/168, 5402/666?

Answer: LCM of Numerators as per given numbers 7382/168, 5402/666 is

LCM of Numerators i.e. for 7382,5402 is 19938782

GCF of denominators i.e. for 168,666 is 6.

Thus, LCM of Fractions is 19938782/6.Finally, LCM of Fractions for 7382/168, 5402/666 is 19938782/6.