Least Common Multiple of 8078/646, 7300/3990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8078/646, 7300/3990 quickly i.e. 29484700/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8078/646, 7300/3990 is 29484700/38.

LCM(8078/646, 7300/3990) = 29484700/38

LCM of 8078/646, 7300/3990

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 8078/646,7300/3990

Given numbers are 8078/646,7300/3990

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 8078,7300

Least Common Multiple of Numerators i.e. LCM of 8078,7300 is 29484700.

GCF of Denominators means GCF of 646,3990 as per the given fractions.

GCF of 646,3990 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8078,7300

LCM of Fractions 8078/646,7300/3990 is 29484700/38

2 8078, 7300
4039, 3650

∴ So the LCM of the given numbers is 2 x 4039 x 3650 = 29484700

Least Common Multiple of 8078,7300 with GCF Formula

Least Common Multiple of 8078,7300 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 8078,7300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8078,7300) = 2

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

GCF(8078,7300) x common factors =2 x 1 = 2

LCM(8078,7300) = ( 8078 × 7300 ) / 2

LCM(8078,7300) = 58969400 / 2

LCM(8078,7300) = 29484700


Lets's calculate GCF of 646,3990

2 646, 3990
19 323, 1995
17, 105

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29484700/38

Therefore the LCM of Fractions 8078/646,7300/3990 is 29484700/38

Greatest Common Factor of 646,3990 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,3990 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Greatest Common Factor

We found the factors 646,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 646,3990 is 38.


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 8078/646, 7300/3990

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 8078/646, 7300/3990?

Answer: LCM of Numerators as per given numbers 8078/646, 7300/3990 is

LCM of Numerators i.e. for 8078,7300 is 29484700

GCF of denominators i.e. for 646,3990 is 38.

Thus, LCM of Fractions is 29484700/38.Finally, LCM of Fractions for 8078/646, 7300/3990 is 29484700/38.