Given numbers are 508,421,564,688

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

The LCM of 508,421,564,688 is 5186726736.

Find LCM of 508,421,564,688 with Prime Factorization

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

2 x 2 x 127 x 421 x 141 x 172 = 5186726736

Therefore, the lowest common multiple of 508,421,564,688 is 5186726736.

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.

508 x 421 x 564 x 688 = 82987627776

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.

508 : 1, 2, 4, 127, 254, 508

421 : 1, 421

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,421,564,688, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

421:421

564:2x 2x 3x 47

688:2x 2x 2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 82987627776/(1x16)

LCM = 82987627776/16

LCM = 5186726736

Thus, we can understand that the LCM of 508,421,564,688 is 5186726736.

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

• LCM of 714, 426, 950, 334
• LCM of 339, 675, 254, 275
• LCM of 438, 689, 681, 762
• LCM of 999, 131, 567, 900
• LCM of 704, 697, 476, 691

1. What is the LCM of 508, 421, 564, 688?

Answer: LCM of 508, 421, 564, 688 is 5186726736.

2. How to calculate the LCM of 508, 421, 564, 688?

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 508, 421, 564, 688.

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}.