Given numbers are 565,330,639,592,490

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

The LCM of 565,330,639,592,490 is 115201936080.

Find LCM of 565,330,639,592,490 with Prime Factorization

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

2 x 3 x 5 x 113 x 11 x 213 x 296 x 49 = 115201936080

Therefore, the lowest common multiple of 565,330,639,592,490 is 115201936080.

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.

565 x 330 x 639 x 592 x 490 = 34560580824000

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.

565 : 1, 5, 113, 565

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

639 : 1, 3, 9, 71, 213, 639

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,330,639,592,490, is 1.

Now, the common factors can be found like this.

565:5x 113

330:2x 3x 5x 11

639:3x 3x 71

592:2x 2x 2x 2x 37

490:2x 5x 7x 7

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 34560580824000/(1x300)

LCM = 34560580824000/300

LCM = 115201936080

Thus, we can understand that the LCM of 565,330,639,592,490 is 115201936080.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 861, 554, 171, 940, 284
• LCM of 849, 426, 459, 839, 560
• LCM of 642, 588, 206, 724, 834
• LCM of 169, 476, 427, 661, 941
• LCM of 429, 768, 496, 907, 687

1. What is the LCM of 565, 330, 639, 592, 490?

Answer: LCM of 565, 330, 639, 592, 490 is 115201936080.

2. How to calculate the LCM of 565, 330, 639, 592, 490?

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 565, 330, 639, 592, 490.

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}.