Least Common Multiple of 2424/222, 6708/3648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2424/222, 6708/3648 quickly i.e. 225836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2424/222, 6708/3648 is 225836.

LCM(2424/222, 6708/3648) = 225836

LCM of 2424/222, 6708/3648

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 2424/222,6708/3648

Given numbers are 2424/222,6708/3648

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 2424,6708

Least Common Multiple of Numerators i.e. LCM of 2424,6708 is 1355016.

GCF of Denominators means GCF of 222,3648 as per the given fractions.

GCF of 222,3648 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2424,6708

LCM of Fractions 2424/222,6708/3648 is 225836

2 2424, 6708
2 1212, 3354
3 606, 1677
202, 559

∴ So the LCM of the given numbers is 2 x 2 x 3 x 202 x 559 = 1355016

Least Common Multiple of 2424,6708 with GCF Formula

Least Common Multiple of 2424,6708 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 2424,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2424,6708) = 12

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

GCF(2424,6708) x common factors =12 x 1 = 12

LCM(2424,6708) = ( 2424 × 6708 ) / 12

LCM(2424,6708) = 16260192 / 12

LCM(2424,6708) = 1355016


Lets's calculate GCF of 222,3648

2 222, 3648
3 111, 1824
37, 608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1355016/6

Therefore the LCM of Fractions 2424/222,6708/3648 is 225836

Greatest Common Factor of 222,3648 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,3648 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 3648

List of positive integer factors of 3648 that divides 3648 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648

Greatest Common Factor

We found the factors 222,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 222,3648 is 6.


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 2424/222, 6708/3648

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 2424/222, 6708/3648?

Answer: LCM of Numerators as per given numbers 2424/222, 6708/3648 is

LCM of Numerators i.e. for 2424,6708 is 1355016

GCF of denominators i.e. for 222,3648 is 6.

Thus, LCM of Fractions is 225836.Finally, LCM of Fractions for 2424/222, 6708/3648 is 225836.