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LCM of 603, 903, 288, 465, 920

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


Find the LCM of 603, 903, 288, 465, 920 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 603, 903, 288, 465, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 603,903,288,465,920

Given numbers are 603,903,288,465,920

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

The LCM of 603,903,288,465,920 is 20705862240.

Find LCM of 603,903,288,465,920 with Prime Factorization


2 603, 903, 288, 465, 920
2 603, 903, 144, 465, 460
2 603, 903, 72, 465, 230
3 603, 903, 36, 465, 115
3 201, 301, 12, 155, 115
5 67, 301, 4, 155, 115
67, 301, 4, 31, 23

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

2 x 2 x 2 x 3 x 3 x 5 x 67 x 301 x 4 x 31 x 23 = 20705862240

Therefore, the lowest common multiple of 603,903,288,465,920 is 20705862240.

LCM Formula to Find Lowest Common Multiple of 603,903,288,465,920

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.

603 x 903 x 288 x 465 x 920 = 67086993657600

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.

603 : 1, 3, 9, 67, 201, 603

903 : 1, 3, 7, 21, 43, 129, 301, 903

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,903,288,465,920, is 1.

Now, the common factors can be found like this.

603:3x 3x 67

903:3x 7x 43

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

465:3x 5x 31

920:2x 2x 2x 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 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 67086993657600/(1x3240)

LCM = 67086993657600/3240

LCM = 20705862240

Thus, we can understand that the LCM of 603,903,288,465,920 is 20705862240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 603, 903, 288, 465, 920

1. What is the LCM of 603, 903, 288, 465, 920?

Answer: LCM of 603, 903, 288, 465, 920 is 20705862240.

2. How to calculate the LCM of 603, 903, 288, 465, 920?

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 603, 903, 288, 465, 920.

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}.