Given numbers are 564,758,930,354,558

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

The LCM of 564,758,930,354,558 is 5864395860.

Find LCM of 564,758,930,354,558 with Prime Factorization

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

2 x 3 x 31 x 94 x 379 x 5 x 59 x 3 = 5864395860

Therefore, the lowest common multiple of 564,758,930,354,558 is 5864395860.

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 758 x 930 x 354 x 558 = 78535989357120

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

758 : 1, 2, 379, 758

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

354 : 1, 2, 3, 6, 59, 118, 177, 354

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,758,930,354,558, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

758:2x 379

930:2x 3x 5x 31

354:2x 3x 59

558:2x 3x 3x 31

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 3x 3x 3x 31 = 6696

Therefore, the value for common factors is 6696.

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 = 78535989357120/(2x6696)

LCM = 78535989357120/13392

LCM = 5864395860

Thus, we can understand that the LCM of 564,758,930,354,558 is 5864395860.

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

• LCM of 864, 355, 669, 343, 185
• LCM of 977, 343, 962, 234, 659
• LCM of 405, 820, 409, 246, 572
• LCM of 563, 460, 434, 696, 988
• LCM of 613, 150, 231, 757, 244

1. What is the LCM of 564, 758, 930, 354, 558?

Answer: LCM of 564, 758, 930, 354, 558 is 5864395860.

2. How to calculate the LCM of 564, 758, 930, 354, 558?

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, 758, 930, 354, 558.

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}.