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LCM of 424, 949, 507, 288, 115

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


Find the LCM of 424, 949, 507, 288, 115 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 424, 949, 507, 288, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,949,507,288,115

Given numbers are 424,949,507,288,115

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

The LCM of 424,949,507,288,115 is 21655876320.

Find LCM of 424,949,507,288,115 with Prime Factorization


2 424, 949, 507, 288, 115
2 212, 949, 507, 144, 115
2 106, 949, 507, 72, 115
3 53, 949, 507, 36, 115
13 53, 949, 169, 12, 115
53, 73, 13, 12, 115

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

2 x 2 x 2 x 3 x 13 x 53 x 73 x 13 x 12 x 115 = 21655876320

Therefore, the lowest common multiple of 424,949,507,288,115 is 21655876320.

LCM Formula to Find Lowest Common Multiple of 424,949,507,288,115

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.

424 x 949 x 507 x 288 x 115 = 6756633411840

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

949 : 1, 13, 73, 949

507 : 1, 3, 13, 39, 169, 507

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,949,507,288,115, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

949:13x 73

507:3x 13x 13

288:2x 2x 2x 2x 2x 3x 3

115:5x 23

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 6756633411840/(1x312)

LCM = 6756633411840/312

LCM = 21655876320

Thus, we can understand that the LCM of 424,949,507,288,115 is 21655876320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 949, 507, 288, 115

1. What is the LCM of 424, 949, 507, 288, 115?

Answer: LCM of 424, 949, 507, 288, 115 is 21655876320.

2. How to calculate the LCM of 424, 949, 507, 288, 115?

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 424, 949, 507, 288, 115.

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}.