Least Common Multiple of 2821/368, 2393/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2821/368, 2393/928 quickly i.e. 6750653/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2821/368, 2393/928 is 6750653/16.

LCM(2821/368, 2393/928) = 6750653/16

LCM of 2821/368, 2393/928

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 2821/368,2393/928

Given numbers are 2821/368,2393/928

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 2821,2393

Least Common Multiple of Numerators i.e. LCM of 2821,2393 is 6750653.

GCF of Denominators means GCF of 368,928 as per the given fractions.

GCF of 368,928 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2821,2393

LCM of Fractions 2821/368,2393/928 is 6750653/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 6750653

Least Common Multiple of 2821,2393 with GCF Formula

Least Common Multiple of 2821,2393 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 2821,2393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2821,2393) = 1

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

GCF(2821,2393) x common factors =1 x 1 = 1

LCM(2821,2393) = ( 2821 × 2393 ) / 1

LCM(2821,2393) = 6750653 / 1

LCM(2821,2393) = 6750653


Lets's calculate GCF of 368,928

2 368, 928
2 184, 464
2 92, 232
2 46, 116
23, 58

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6750653/16

Therefore the LCM of Fractions 2821/368,2393/928 is 6750653/16

Greatest Common Factor of 368,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,928 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 368,928 . The biggest common factor number is the GCF number.
So the greatest common factor 368,928 is 16.


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 2821/368, 2393/928

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 2821/368, 2393/928?

Answer: LCM of Numerators as per given numbers 2821/368, 2393/928 is

LCM of Numerators i.e. for 2821,2393 is 6750653

GCF of denominators i.e. for 368,928 is 16.

Thus, LCM of Fractions is 6750653/16.Finally, LCM of Fractions for 2821/368, 2393/928 is 6750653/16.