Given numbers are 564,650,296,406,377

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

The LCM of 564,650,296,406,377 is 2753532600.

Find LCM of 564,650,296,406,377 with Prime Factorization

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

2 x 2 x 13 x 29 x 141 x 25 x 74 x 7 x 1 = 2753532600

Therefore, the lowest common multiple of 564,650,296,406,377 is 2753532600.

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.

564 x 650 x 296 x 406 x 377 = 16609308643200

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,650,296,406,377, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

650:2x 5x 5x 13

296:2x 2x 2x 37

406:2x 7x 29

377:13x 29

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 13x 29 = 6032

Therefore, the value for common factors is 6032.

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 = 16609308643200/(1x6032)

LCM = 16609308643200/6032

LCM = 2753532600

Thus, we can understand that the LCM of 564,650,296,406,377 is 2753532600.

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

• LCM of 973, 903, 132, 600, 719
• LCM of 632, 718, 763, 997, 550
• LCM of 145, 884, 791, 138, 759
• LCM of 693, 859, 116, 978, 536
• LCM of 419, 899, 853, 835, 286

1. What is the LCM of 564, 650, 296, 406, 377?

Answer: LCM of 564, 650, 296, 406, 377 is 2753532600.

2. How to calculate the LCM of 564, 650, 296, 406, 377?

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 564, 650, 296, 406, 377.

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}.