Least Common Multiple of 4013/775, 3747/8489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4013/775, 3747/8489 quickly i.e. 15036711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4013/775, 3747/8489 is 15036711.

LCM(4013/775, 3747/8489) = 15036711

LCM of 4013/775, 3747/8489

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 4013/775,3747/8489

Given numbers are 4013/775,3747/8489

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 4013,3747

Least Common Multiple of Numerators i.e. LCM of 4013,3747 is 15036711.

GCF of Denominators means GCF of 775,8489 as per the given fractions.

GCF of 775,8489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4013,3747

LCM of Fractions 4013/775,3747/8489 is 15036711

Given numbers has no common factors except 1. So, there LCM is their product i.e 15036711

Least Common Multiple of 4013,3747 with GCF Formula

Least Common Multiple of 4013,3747 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 4013,3747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4013,3747) = 1

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

GCF(4013,3747) x common factors =1 x 1 = 1

LCM(4013,3747) = ( 4013 × 3747 ) / 1

LCM(4013,3747) = 15036711 / 1

LCM(4013,3747) = 15036711


Lets's calculate GCF of 775,8489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15036711/1

Therefore the LCM of Fractions 4013/775,3747/8489 is 15036711

Greatest Common Factor of 775,8489 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,8489 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1,13,653,8489

Greatest Common Factor

We found the factors 775,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 775,8489 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 4013/775, 3747/8489

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 4013/775, 3747/8489?

Answer: LCM of Numerators as per given numbers 4013/775, 3747/8489 is

LCM of Numerators i.e. for 4013,3747 is 15036711

GCF of denominators i.e. for 775,8489 is 1.

Thus, LCM of Fractions is 15036711.Finally, LCM of Fractions for 4013/775, 3747/8489 is 15036711.