Given numbers are 564,416,421,763

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

The LCM of 564,416,421,763 is 18841656288.

Find LCM of 564,416,421,763 with Prime Factorization

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

2 x 2 x 141 x 104 x 421 x 763 = 18841656288

Therefore, the lowest common multiple of 564,416,421,763 is 18841656288.

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 416 x 421 x 763 = 75366625152

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

421 : 1, 421

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,416,421,763, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

416:2x 2x 2x 2x 2x 13

421:421

763:7x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 75366625152/(1x4)

LCM = 75366625152/4

LCM = 18841656288

Thus, we can understand that the LCM of 564,416,421,763 is 18841656288.

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

• LCM of 372, 934, 276, 970
• LCM of 192, 963, 539, 532
• LCM of 378, 275, 204, 666
• LCM of 457, 428, 434, 688
• LCM of 179, 300, 319, 496

1. What is the LCM of 564, 416, 421, 763?

Answer: LCM of 564, 416, 421, 763 is 18841656288.

2. How to calculate the LCM of 564, 416, 421, 763?

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, 416, 421, 763.

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}.