Least Common Multiple of 5700/30, 8443/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5700/30, 8443/860 quickly i.e. 4812510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5700/30, 8443/860 is 4812510.

LCM(5700/30, 8443/860) = 4812510

LCM of 5700/30, 8443/860

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 5700/30,8443/860

Given numbers are 5700/30,8443/860

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 5700,8443

Least Common Multiple of Numerators i.e. LCM of 5700,8443 is 48125100.

GCF of Denominators means GCF of 30,860 as per the given fractions.

GCF of 30,860 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5700,8443

LCM of Fractions 5700/30,8443/860 is 4812510

Given numbers has no common factors except 1. So, there LCM is their product i.e 48125100

Least Common Multiple of 5700,8443 with GCF Formula

Least Common Multiple of 5700,8443 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 5700,8443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5700,8443) = 1

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

GCF(5700,8443) x common factors =1 x 1 = 1

LCM(5700,8443) = ( 5700 × 8443 ) / 1

LCM(5700,8443) = 48125100 / 1

LCM(5700,8443) = 48125100


Lets's calculate GCF of 30,860

2 30, 860
5 15, 430
3, 86

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48125100/10

Therefore the LCM of Fractions 5700/30,8443/860 is 4812510

Greatest Common Factor of 30,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,860 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 30,860 . The biggest common factor number is the GCF number.
So the greatest common factor 30,860 is 10.


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 5700/30, 8443/860

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 5700/30, 8443/860?

Answer: LCM of Numerators as per given numbers 5700/30, 8443/860 is

LCM of Numerators i.e. for 5700,8443 is 48125100

GCF of denominators i.e. for 30,860 is 10.

Thus, LCM of Fractions is 4812510.Finally, LCM of Fractions for 5700/30, 8443/860 is 4812510.