Least Common Multiple of 743/168, 7920/3636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/168, 7920/3636 quickly i.e. 490380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/168, 7920/3636 is 490380.

LCM(743/168, 7920/3636) = 490380

LCM of 743/168, 7920/3636

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 743/168,7920/3636

Given numbers are 743/168,7920/3636

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 743,7920

Least Common Multiple of Numerators i.e. LCM of 743,7920 is 5884560.

GCF of Denominators means GCF of 168,3636 as per the given fractions.

GCF of 168,3636 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,7920

LCM of Fractions 743/168,7920/3636 is 490380

Given numbers has no common factors except 1. So, there LCM is their product i.e 5884560

Least Common Multiple of 743,7920 with GCF Formula

Least Common Multiple of 743,7920 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 743,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,7920) = 1

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

GCF(743,7920) x common factors =1 x 1 = 1

LCM(743,7920) = ( 743 × 7920 ) / 1

LCM(743,7920) = 5884560 / 1

LCM(743,7920) = 5884560


Lets's calculate GCF of 168,3636

2 168, 3636
2 84, 1818
3 42, 909
14, 303

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5884560/12

Therefore the LCM of Fractions 743/168,7920/3636 is 490380

Greatest Common Factor of 168,3636 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,3636 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 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Greatest Common Factor

We found the factors 168,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 168,3636 is 12.


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 743/168, 7920/3636

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 743/168, 7920/3636?

Answer: LCM of Numerators as per given numbers 743/168, 7920/3636 is

LCM of Numerators i.e. for 743,7920 is 5884560

GCF of denominators i.e. for 168,3636 is 12.

Thus, LCM of Fractions is 490380.Finally, LCM of Fractions for 743/168, 7920/3636 is 490380.