LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 396, 583, 736, 528, 506

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


Find the LCM of 396, 583, 736, 528, 506 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 396, 583, 736, 528, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,583,736,528,506

Given numbers are 396,583,736,528,506

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

The LCM of 396,583,736,528,506 is 3861792.

Find LCM of 396,583,736,528,506 with Prime Factorization


2 396, 583, 736, 528, 506
2 198, 583, 368, 264, 253
2 99, 583, 184, 132, 253
2 99, 583, 92, 66, 253
3 99, 583, 46, 33, 253
11 11, 583, 46, 33, 253
23 1, 53, 46, 3, 23
1, 53, 2, 3, 1

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

2 x 2 x 2 x 2 x 3 x 11 x 23 x 1 x 53 x 2 x 3 x 1 = 3861792

Therefore, the lowest common multiple of 396,583,736,528,506 is 3861792.

LCM Formula to Find Lowest Common Multiple of 396,583,736,528,506

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.

396 x 583 x 736 x 528 x 506 = 45396878782464

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

583 : 1, 11, 53, 583

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,583,736,528,506, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

583:11x 53

736:2x 2x 2x 2x 2x 23

528:2x 2x 2x 2x 3x 11

506:2x 11x 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 2x 2x 2x 2x 3x 11x 11x 11x 23 = 11755392

Therefore, the value for common factors is 11755392.

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 = 45396878782464/(1x11755392)

LCM = 45396878782464/11755392

LCM = 3861792

Thus, we can understand that the LCM of 396,583,736,528,506 is 3861792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 583, 736, 528, 506

1. What is the LCM of 396, 583, 736, 528, 506?

Answer: LCM of 396, 583, 736, 528, 506 is 3861792.

2. How to calculate the LCM of 396, 583, 736, 528, 506?

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 396, 583, 736, 528, 506.

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}.