Least Common Multiple of 37/369, 2823/5004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/369, 2823/5004 quickly i.e. 104451/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/369, 2823/5004 is 104451/9.

LCM(37/369, 2823/5004) = 104451/9

LCM of 37/369, 2823/5004

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 37/369,2823/5004

Given numbers are 37/369,2823/5004

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 37,2823

Least Common Multiple of Numerators i.e. LCM of 37,2823 is 104451.

GCF of Denominators means GCF of 369,5004 as per the given fractions.

GCF of 369,5004 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,2823

LCM of Fractions 37/369,2823/5004 is 104451/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 104451

Least Common Multiple of 37,2823 with GCF Formula

Least Common Multiple of 37,2823 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 37,2823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,2823) = 1

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

GCF(37,2823) x common factors =1 x 1 = 1

LCM(37,2823) = ( 37 × 2823 ) / 1

LCM(37,2823) = 104451 / 1

LCM(37,2823) = 104451


Lets's calculate GCF of 369,5004

3 369, 5004
3 123, 1668
41, 556

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104451/9

Therefore the LCM of Fractions 37/369,2823/5004 is 104451/9

Greatest Common Factor of 369,5004 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,5004 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004

Greatest Common Factor

We found the factors 369,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 369,5004 is 9.


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 37/369, 2823/5004

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 37/369, 2823/5004?

Answer: LCM of Numerators as per given numbers 37/369, 2823/5004 is

LCM of Numerators i.e. for 37,2823 is 104451

GCF of denominators i.e. for 369,5004 is 9.

Thus, LCM of Fractions is 104451/9.Finally, LCM of Fractions for 37/369, 2823/5004 is 104451/9.