Least Common Multiple of 7972/306, 7036/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7972/306, 7036/909 quickly i.e. 14022748/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7972/306, 7036/909 is 14022748/9.

LCM(7972/306, 7036/909) = 14022748/9

LCM of 7972/306, 7036/909

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 7972/306,7036/909

Given numbers are 7972/306,7036/909

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 7972,7036

Least Common Multiple of Numerators i.e. LCM of 7972,7036 is 14022748.

GCF of Denominators means GCF of 306,909 as per the given fractions.

GCF of 306,909 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7972,7036

LCM of Fractions 7972/306,7036/909 is 14022748/9

2 7972, 7036
2 3986, 3518
1993, 1759

∴ So the LCM of the given numbers is 2 x 2 x 1993 x 1759 = 14022748

Least Common Multiple of 7972,7036 with GCF Formula

Least Common Multiple of 7972,7036 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 7972,7036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7972,7036) = 4

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

GCF(7972,7036) x common factors =4 x 1 = 4

LCM(7972,7036) = ( 7972 × 7036 ) / 4

LCM(7972,7036) = 56090992 / 4

LCM(7972,7036) = 14022748


Lets's calculate GCF of 306,909

3 306, 909
3 102, 303
34, 101

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14022748/9

Therefore the LCM of Fractions 7972/306,7036/909 is 14022748/9

Greatest Common Factor of 306,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,909 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 306,909 . The biggest common factor number is the GCF number.
So the greatest common factor 306,909 is 9.


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 7972/306, 7036/909

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 7972/306, 7036/909?

Answer: LCM of Numerators as per given numbers 7972/306, 7036/909 is

LCM of Numerators i.e. for 7972,7036 is 14022748

GCF of denominators i.e. for 306,909 is 9.

Thus, LCM of Fractions is 14022748/9.Finally, LCM of Fractions for 7972/306, 7036/909 is 14022748/9.