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LCM of 408, 748, 247, 559, 648

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


Find the LCM of 408, 748, 247, 559, 648 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 408, 748, 247, 559, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,748,247,559,648

Given numbers are 408,748,247,559,648

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

The LCM of 408,748,247,559,648 is 1287010296.

Find LCM of 408,748,247,559,648 with Prime Factorization


2 408, 748, 247, 559, 648
2 204, 374, 247, 559, 324
2 102, 187, 247, 559, 162
3 51, 187, 247, 559, 81
13 17, 187, 247, 559, 27
17 17, 187, 19, 43, 27
1, 11, 19, 43, 27

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

2 x 2 x 2 x 3 x 13 x 17 x 1 x 11 x 19 x 43 x 27 = 1287010296

Therefore, the lowest common multiple of 408,748,247,559,648 is 1287010296.

LCM Formula to Find Lowest Common Multiple of 408,748,247,559,648

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.

408 x 748 x 247 x 559 x 648 = 27305210439936

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

247 : 1, 13, 19, 247

559 : 1, 13, 43, 559

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,748,247,559,648, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

748:2x 2x 11x 17

247:13x 19

559:13x 43

648:2x 2x 2x 3x 3x 3x 3

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 2x 2x 2x 3x 13x 17 = 21216

Therefore, the value for common factors is 21216.

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 = 27305210439936/(1x21216)

LCM = 27305210439936/21216

LCM = 1287010296

Thus, we can understand that the LCM of 408,748,247,559,648 is 1287010296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 748, 247, 559, 648

1. What is the LCM of 408, 748, 247, 559, 648?

Answer: LCM of 408, 748, 247, 559, 648 is 1287010296.

2. How to calculate the LCM of 408, 748, 247, 559, 648?

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 408, 748, 247, 559, 648.

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}.