Least Common Multiple of 3893/13, 2251/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3893/13, 2251/852 quickly i.e. 8763143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3893/13, 2251/852 is 8763143.

LCM(3893/13, 2251/852) = 8763143

LCM of 3893/13, 2251/852

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 3893/13,2251/852

Given numbers are 3893/13,2251/852

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 3893,2251

Least Common Multiple of Numerators i.e. LCM of 3893,2251 is 8763143.

GCF of Denominators means GCF of 13,852 as per the given fractions.

GCF of 13,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3893,2251

LCM of Fractions 3893/13,2251/852 is 8763143

Given numbers has no common factors except 1. So, there LCM is their product i.e 8763143

Least Common Multiple of 3893,2251 with GCF Formula

Least Common Multiple of 3893,2251 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 3893,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3893,2251) = 1

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

GCF(3893,2251) x common factors =1 x 1 = 1

LCM(3893,2251) = ( 3893 × 2251 ) / 1

LCM(3893,2251) = 8763143 / 1

LCM(3893,2251) = 8763143


Lets's calculate GCF of 13,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8763143/1

Therefore the LCM of Fractions 3893/13,2251/852 is 8763143

Greatest Common Factor of 13,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,852 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 13,852 . The biggest common factor number is the GCF number.
So the greatest common factor 13,852 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3893/13, 2251/852

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 3893/13, 2251/852?

Answer: LCM of Numerators as per given numbers 3893/13, 2251/852 is

LCM of Numerators i.e. for 3893,2251 is 8763143

GCF of denominators i.e. for 13,852 is 1.

Thus, LCM of Fractions is 8763143.Finally, LCM of Fractions for 3893/13, 2251/852 is 8763143.