Least Common Multiple of 3363/142, 5244/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3363/142, 5244/504 quickly i.e. 154698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3363/142, 5244/504 is 154698.

LCM(3363/142, 5244/504) = 154698

LCM of 3363/142, 5244/504

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 3363/142,5244/504

Given numbers are 3363/142,5244/504

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 3363,5244

Least Common Multiple of Numerators i.e. LCM of 3363,5244 is 309396.

GCF of Denominators means GCF of 142,504 as per the given fractions.

GCF of 142,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3363,5244

LCM of Fractions 3363/142,5244/504 is 154698

3 3363, 5244
19 1121, 1748
59, 92

∴ So the LCM of the given numbers is 3 x 19 x 59 x 92 = 309396

Least Common Multiple of 3363,5244 with GCF Formula

Least Common Multiple of 3363,5244 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 3363,5244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3363,5244) = 57

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

GCF(3363,5244) x common factors =57 x 1 = 57

LCM(3363,5244) = ( 3363 × 5244 ) / 57

LCM(3363,5244) = 17635572 / 57

LCM(3363,5244) = 309396


Lets's calculate GCF of 142,504

2 142, 504
71, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309396/2

Therefore the LCM of Fractions 3363/142,5244/504 is 154698

Greatest Common Factor of 142,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,504 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 142,504 . The biggest common factor number is the GCF number.
So the greatest common factor 142,504 is 2.


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 3363/142, 5244/504

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 3363/142, 5244/504?

Answer: LCM of Numerators as per given numbers 3363/142, 5244/504 is

LCM of Numerators i.e. for 3363,5244 is 309396

GCF of denominators i.e. for 142,504 is 2.

Thus, LCM of Fractions is 154698.Finally, LCM of Fractions for 3363/142, 5244/504 is 154698.