Least Common Multiple of 3078/644, 4800/9095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3078/644, 4800/9095 quickly i.e. 2462400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3078/644, 4800/9095 is 2462400.

LCM(3078/644, 4800/9095) = 2462400

LCM of 3078/644, 4800/9095

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 3078/644,4800/9095

Given numbers are 3078/644,4800/9095

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 3078,4800

Least Common Multiple of Numerators i.e. LCM of 3078,4800 is 2462400.

GCF of Denominators means GCF of 644,9095 as per the given fractions.

GCF of 644,9095 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3078,4800

LCM of Fractions 3078/644,4800/9095 is 2462400

2 3078, 4800
3 1539, 2400
513, 800

∴ So the LCM of the given numbers is 2 x 3 x 513 x 800 = 2462400

Least Common Multiple of 3078,4800 with GCF Formula

Least Common Multiple of 3078,4800 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 3078,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3078,4800) = 6

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

GCF(3078,4800) x common factors =6 x 1 = 6

LCM(3078,4800) = ( 3078 × 4800 ) / 6

LCM(3078,4800) = 14774400 / 6

LCM(3078,4800) = 2462400


Lets's calculate GCF of 644,9095

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2462400/1

Therefore the LCM of Fractions 3078/644,4800/9095 is 2462400

Greatest Common Factor of 644,9095 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,9095 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 9095

List of positive integer factors of 9095 that divides 9095 without a remainder.

1,5,17,85,107,535,1819,9095

Greatest Common Factor

We found the factors 644,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 644,9095 is 1.


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 3078/644, 4800/9095

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 3078/644, 4800/9095?

Answer: LCM of Numerators as per given numbers 3078/644, 4800/9095 is

LCM of Numerators i.e. for 3078,4800 is 2462400

GCF of denominators i.e. for 644,9095 is 1.

Thus, LCM of Fractions is 2462400.Finally, LCM of Fractions for 3078/644, 4800/9095 is 2462400.