Least Common Multiple of 3004/697, 9887/7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3004/697, 9887/7640 quickly i.e. 29700548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3004/697, 9887/7640 is 29700548.

LCM(3004/697, 9887/7640) = 29700548

LCM of 3004/697, 9887/7640

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 3004/697,9887/7640

Given numbers are 3004/697,9887/7640

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 3004,9887

Least Common Multiple of Numerators i.e. LCM of 3004,9887 is 29700548.

GCF of Denominators means GCF of 697,7640 as per the given fractions.

GCF of 697,7640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3004,9887

LCM of Fractions 3004/697,9887/7640 is 29700548

Given numbers has no common factors except 1. So, there LCM is their product i.e 29700548

Least Common Multiple of 3004,9887 with GCF Formula

Least Common Multiple of 3004,9887 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 3004,9887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3004,9887) = 1

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

GCF(3004,9887) x common factors =1 x 1 = 1

LCM(3004,9887) = ( 3004 × 9887 ) / 1

LCM(3004,9887) = 29700548 / 1

LCM(3004,9887) = 29700548


Lets's calculate GCF of 697,7640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29700548/1

Therefore the LCM of Fractions 3004/697,9887/7640 is 29700548

Greatest Common Factor of 697,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,7640 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 697,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 697,7640 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3004/697, 9887/7640

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 3004/697, 9887/7640?

Answer: LCM of Numerators as per given numbers 3004/697, 9887/7640 is

LCM of Numerators i.e. for 3004,9887 is 29700548

GCF of denominators i.e. for 697,7640 is 1.

Thus, LCM of Fractions is 29700548.Finally, LCM of Fractions for 3004/697, 9887/7640 is 29700548.