Least Common Multiple of 7624/972, 1003/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7624/972, 1003/6966 quickly i.e. 7646872/162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7624/972, 1003/6966 is 7646872/162.

LCM(7624/972, 1003/6966) = 7646872/162

LCM of 7624/972, 1003/6966

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 7624/972,1003/6966

Given numbers are 7624/972,1003/6966

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 7624,1003

Least Common Multiple of Numerators i.e. LCM of 7624,1003 is 7646872.

GCF of Denominators means GCF of 972,6966 as per the given fractions.

GCF of 972,6966 is 162 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7624,1003

LCM of Fractions 7624/972,1003/6966 is 7646872/162

Given numbers has no common factors except 1. So, there LCM is their product i.e 7646872

Least Common Multiple of 7624,1003 with GCF Formula

Least Common Multiple of 7624,1003 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 7624,1003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7624,1003) = 1

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

GCF(7624,1003) x common factors =1 x 1 = 1

LCM(7624,1003) = ( 7624 × 1003 ) / 1

LCM(7624,1003) = 7646872 / 1

LCM(7624,1003) = 7646872


Lets's calculate GCF of 972,6966

2 972, 6966
3 486, 3483
3 162, 1161
3 54, 387
3 18, 129
6, 43

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7646872/162

Therefore the LCM of Fractions 7624/972,1003/6966 is 7646872/162

Greatest Common Factor of 972,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,6966 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 972,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 972,6966 is 162.


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 7624/972, 1003/6966

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 7624/972, 1003/6966?

Answer: LCM of Numerators as per given numbers 7624/972, 1003/6966 is

LCM of Numerators i.e. for 7624,1003 is 7646872

GCF of denominators i.e. for 972,6966 is 162.

Thus, LCM of Fractions is 7646872/162.Finally, LCM of Fractions for 7624/972, 1003/6966 is 7646872/162.