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LCM of 272, 103, 363, 412

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 272, 103, 363, 412 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 272, 103, 363, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,103,363,412

Given numbers are 272,103,363,412

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 272,103,363,412 is 10169808.

Find LCM of 272,103,363,412 with Prime Factorization


2 272, 103, 363, 412
2 136, 103, 363, 206
103 68, 103, 363, 103
68, 1, 363, 1

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 103 x 68 x 1 x 363 x 1 = 10169808

Therefore, the lowest common multiple of 272,103,363,412 is 10169808.

LCM Formula to Find Lowest Common Multiple of 272,103,363,412

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

272 x 103 x 363 x 412 = 4189960896

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

103 : 1, 103

363 : 1, 3, 11, 33, 121, 363

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,103,363,412, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

103:103

363:3x 11x 11

412:2x 2x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 103 = 412

Therefore, the value for common factors is 412.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4189960896/(1x412)

LCM = 4189960896/412

LCM = 10169808

Thus, we can understand that the LCM of 272,103,363,412 is 10169808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 103, 363, 412

1. What is the LCM of 272, 103, 363, 412?

Answer: LCM of 272, 103, 363, 412 is 10169808.

2. How to calculate the LCM of 272, 103, 363, 412?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 272, 103, 363, 412.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.