Least Common Multiple of 3881/32, 6836/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3881/32, 6836/200 quickly i.e. 26530516/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3881/32, 6836/200 is 26530516/8.

LCM(3881/32, 6836/200) = 26530516/8

LCM of 3881/32, 6836/200

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 3881/32,6836/200

Given numbers are 3881/32,6836/200

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 3881,6836

Least Common Multiple of Numerators i.e. LCM of 3881,6836 is 26530516.

GCF of Denominators means GCF of 32,200 as per the given fractions.

GCF of 32,200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3881,6836

LCM of Fractions 3881/32,6836/200 is 26530516/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 26530516

Least Common Multiple of 3881,6836 with GCF Formula

Least Common Multiple of 3881,6836 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 3881,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3881,6836) = 1

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

GCF(3881,6836) x common factors =1 x 1 = 1

LCM(3881,6836) = ( 3881 × 6836 ) / 1

LCM(3881,6836) = 26530516 / 1

LCM(3881,6836) = 26530516


Lets's calculate GCF of 32,200

2 32, 200
2 16, 100
2 8, 50
4, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26530516/8

Therefore the LCM of Fractions 3881/32,6836/200 is 26530516/8

Greatest Common Factor of 32,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,200 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 32,200 . The biggest common factor number is the GCF number.
So the greatest common factor 32,200 is 8.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3881/32, 6836/200

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 3881/32, 6836/200?

Answer: LCM of Numerators as per given numbers 3881/32, 6836/200 is

LCM of Numerators i.e. for 3881,6836 is 26530516

GCF of denominators i.e. for 32,200 is 8.

Thus, LCM of Fractions is 26530516/8.Finally, LCM of Fractions for 3881/32, 6836/200 is 26530516/8.