Least Common Multiple of 5004/375, 2908/2772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5004/375, 2908/2772 quickly i.e. 1212636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5004/375, 2908/2772 is 1212636.

LCM(5004/375, 2908/2772) = 1212636

LCM of 5004/375, 2908/2772

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 5004/375,2908/2772

Given numbers are 5004/375,2908/2772

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 5004,2908

Least Common Multiple of Numerators i.e. LCM of 5004,2908 is 3637908.

GCF of Denominators means GCF of 375,2772 as per the given fractions.

GCF of 375,2772 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5004,2908

LCM of Fractions 5004/375,2908/2772 is 1212636

2 5004, 2908
2 2502, 1454
1251, 727

∴ So the LCM of the given numbers is 2 x 2 x 1251 x 727 = 3637908

Least Common Multiple of 5004,2908 with GCF Formula

Least Common Multiple of 5004,2908 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 5004,2908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5004,2908) = 4

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

GCF(5004,2908) x common factors =4 x 1 = 4

LCM(5004,2908) = ( 5004 × 2908 ) / 4

LCM(5004,2908) = 14551632 / 4

LCM(5004,2908) = 3637908


Lets's calculate GCF of 375,2772

3 375, 2772
125, 924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3637908/3

Therefore the LCM of Fractions 5004/375,2908/2772 is 1212636

Greatest Common Factor of 375,2772 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,2772 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772

Greatest Common Factor

We found the factors 375,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 375,2772 is 3.


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 5004/375, 2908/2772

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 5004/375, 2908/2772?

Answer: LCM of Numerators as per given numbers 5004/375, 2908/2772 is

LCM of Numerators i.e. for 5004,2908 is 3637908

GCF of denominators i.e. for 375,2772 is 3.

Thus, LCM of Fractions is 1212636.Finally, LCM of Fractions for 5004/375, 2908/2772 is 1212636.