Least Common Multiple of 3216/469, 3069/9044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3216/469, 3069/9044 quickly i.e. 3289968/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3216/469, 3069/9044 is 3289968/7.

LCM(3216/469, 3069/9044) = 3289968/7

LCM of 3216/469, 3069/9044

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 3216/469,3069/9044

Given numbers are 3216/469,3069/9044

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 3216,3069

Least Common Multiple of Numerators i.e. LCM of 3216,3069 is 3289968.

GCF of Denominators means GCF of 469,9044 as per the given fractions.

GCF of 469,9044 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3216,3069

LCM of Fractions 3216/469,3069/9044 is 3289968/7

3 3216, 3069
1072, 1023

∴ So the LCM of the given numbers is 3 x 1072 x 1023 = 3289968

Least Common Multiple of 3216,3069 with GCF Formula

Least Common Multiple of 3216,3069 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 3216,3069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3216,3069) = 3

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

GCF(3216,3069) x common factors =3 x 1 = 3

LCM(3216,3069) = ( 3216 × 3069 ) / 3

LCM(3216,3069) = 9869904 / 3

LCM(3216,3069) = 3289968


Lets's calculate GCF of 469,9044

7 469, 9044
67, 1292

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3289968/7

Therefore the LCM of Fractions 3216/469,3069/9044 is 3289968/7

Greatest Common Factor of 469,9044 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,9044 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044

Greatest Common Factor

We found the factors 469,9044 . The biggest common factor number is the GCF number.
So the greatest common factor 469,9044 is 7.


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 3216/469, 3069/9044

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 3216/469, 3069/9044?

Answer: LCM of Numerators as per given numbers 3216/469, 3069/9044 is

LCM of Numerators i.e. for 3216,3069 is 3289968

GCF of denominators i.e. for 469,9044 is 7.

Thus, LCM of Fractions is 3289968/7.Finally, LCM of Fractions for 3216/469, 3069/9044 is 3289968/7.