Least Common Multiple of 5709/863, 6800/3536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5709/863, 6800/3536 quickly i.e. 38821200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5709/863, 6800/3536 is 38821200.

LCM(5709/863, 6800/3536) = 38821200

LCM of 5709/863, 6800/3536

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 5709/863,6800/3536

Given numbers are 5709/863,6800/3536

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 5709,6800

Least Common Multiple of Numerators i.e. LCM of 5709,6800 is 38821200.

GCF of Denominators means GCF of 863,3536 as per the given fractions.

GCF of 863,3536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5709,6800

LCM of Fractions 5709/863,6800/3536 is 38821200

Given numbers has no common factors except 1. So, there LCM is their product i.e 38821200

Least Common Multiple of 5709,6800 with GCF Formula

Least Common Multiple of 5709,6800 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 5709,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5709,6800) = 1

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

GCF(5709,6800) x common factors =1 x 1 = 1

LCM(5709,6800) = ( 5709 × 6800 ) / 1

LCM(5709,6800) = 38821200 / 1

LCM(5709,6800) = 38821200


Lets's calculate GCF of 863,3536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38821200/1

Therefore the LCM of Fractions 5709/863,6800/3536 is 38821200

Greatest Common Factor of 863,3536 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,3536 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

Greatest Common Factor

We found the factors 863,3536 . The biggest common factor number is the GCF number.
So the greatest common factor 863,3536 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 5709/863, 6800/3536

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 5709/863, 6800/3536?

Answer: LCM of Numerators as per given numbers 5709/863, 6800/3536 is

LCM of Numerators i.e. for 5709,6800 is 38821200

GCF of denominators i.e. for 863,3536 is 1.

Thus, LCM of Fractions is 38821200.Finally, LCM of Fractions for 5709/863, 6800/3536 is 38821200.