Least Common Multiple of 7003/745, 1649/6968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7003/745, 1649/6968 quickly i.e. 11547947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7003/745, 1649/6968 is 11547947.

LCM(7003/745, 1649/6968) = 11547947

LCM of 7003/745, 1649/6968

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 7003/745,1649/6968

Given numbers are 7003/745,1649/6968

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 7003,1649

Least Common Multiple of Numerators i.e. LCM of 7003,1649 is 11547947.

GCF of Denominators means GCF of 745,6968 as per the given fractions.

GCF of 745,6968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7003,1649

LCM of Fractions 7003/745,1649/6968 is 11547947

Given numbers has no common factors except 1. So, there LCM is their product i.e 11547947

Least Common Multiple of 7003,1649 with GCF Formula

Least Common Multiple of 7003,1649 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 7003,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7003,1649) = 1

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

GCF(7003,1649) x common factors =1 x 1 = 1

LCM(7003,1649) = ( 7003 × 1649 ) / 1

LCM(7003,1649) = 11547947 / 1

LCM(7003,1649) = 11547947


Lets's calculate GCF of 745,6968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11547947/1

Therefore the LCM of Fractions 7003/745,1649/6968 is 11547947

Greatest Common Factor of 745,6968 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,6968 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Greatest Common Factor

We found the factors 745,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 745,6968 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 7003/745, 1649/6968

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 7003/745, 1649/6968?

Answer: LCM of Numerators as per given numbers 7003/745, 1649/6968 is

LCM of Numerators i.e. for 7003,1649 is 11547947

GCF of denominators i.e. for 745,6968 is 1.

Thus, LCM of Fractions is 11547947.Finally, LCM of Fractions for 7003/745, 1649/6968 is 11547947.