Least Common Multiple of 300/80, 649/43, 710/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/80, 649/43, 710/552 quickly i.e. 13823700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/80, 649/43, 710/552 is 13823700.

LCM(300/80, 649/43, 710/552) = 13823700

LCM of 300/80, 649/43, 710/552

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 300/80,649/43,710/552

Given numbers are 300/80,649/43,710/552

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 300,649,710

Least Common Multiple of Numerators i.e. LCM of 300,649,710 is 13823700.

GCF of Denominators means GCF of 80,43,552 as per the given fractions.

GCF of 80,43,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,649,710

LCM of Fractions 300/80,649/43,710/552 is 13823700

2 300, 649, 710
5 150, 649, 355
30, 649, 71

∴ So the LCM of the given numbers is 2 x 5 x 30 x 649 x 71 = 13823700

Least Common Multiple of 300,649,710 with GCF Formula

Least Common Multiple of 300,649,710 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 300,649,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,649,710) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(300,649,710) x common factors =1 x 10 = 10

LCM(300,649,710) = ( 300 × 649 × 710 ) / 10

LCM(300,649,710) = 138237000 / 10

LCM(300,649,710) = 13823700


Lets's calculate GCF of 80,43,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13823700/1

Therefore the LCM of Fractions 300/80,649/43,710/552 is 13823700

Greatest Common Factor of 80,43,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,43,552 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 80,43,552 . The biggest common factor number is the GCF number.
So the greatest common factor 80,43,552 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 300/80, 649/43, 710/552

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 300/80, 649/43, 710/552?

Answer: LCM of Numerators as per given numbers 300/80, 649/43, 710/552 is

LCM of Numerators i.e. for 300,649,710 is 13823700

GCF of denominators i.e. for 80,43,552 is 1.

Thus, LCM of Fractions is 13823700.Finally, LCM of Fractions for 300/80, 649/43, 710/552 is 13823700.