Least Common Multiple of 5007/997, 3566/6117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5007/997, 3566/6117 quickly i.e. 17854962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5007/997, 3566/6117 is 17854962.

LCM(5007/997, 3566/6117) = 17854962

LCM of 5007/997, 3566/6117

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 5007/997,3566/6117

Given numbers are 5007/997,3566/6117

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 5007,3566

Least Common Multiple of Numerators i.e. LCM of 5007,3566 is 17854962.

GCF of Denominators means GCF of 997,6117 as per the given fractions.

GCF of 997,6117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5007,3566

LCM of Fractions 5007/997,3566/6117 is 17854962

Given numbers has no common factors except 1. So, there LCM is their product i.e 17854962

Least Common Multiple of 5007,3566 with GCF Formula

Least Common Multiple of 5007,3566 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 5007,3566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5007,3566) = 1

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

GCF(5007,3566) x common factors =1 x 1 = 1

LCM(5007,3566) = ( 5007 × 3566 ) / 1

LCM(5007,3566) = 17854962 / 1

LCM(5007,3566) = 17854962


Lets's calculate GCF of 997,6117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17854962/1

Therefore the LCM of Fractions 5007/997,3566/6117 is 17854962

Greatest Common Factor of 997,6117 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,6117 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 6117

List of positive integer factors of 6117 that divides 6117 without a remainder.

1,3,2039,6117

Greatest Common Factor

We found the factors 997,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 997,6117 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 5007/997, 3566/6117

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 5007/997, 3566/6117?

Answer: LCM of Numerators as per given numbers 5007/997, 3566/6117 is

LCM of Numerators i.e. for 5007,3566 is 17854962

GCF of denominators i.e. for 997,6117 is 1.

Thus, LCM of Fractions is 17854962.Finally, LCM of Fractions for 5007/997, 3566/6117 is 17854962.