Given numbers are 630,326,458,564,717

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

The LCM of 630,326,458,564,717 is 528310680660.

Find LCM of 630,326,458,564,717 with Prime Factorization

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

2 x 3 x 105 x 163 x 229 x 94 x 239 = 528310680660

Therefore, the lowest common multiple of 630,326,458,564,717 is 528310680660.

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.

630 x 326 x 458 x 564 x 717 = 38038369007520

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

326 : 1, 2, 163, 326

458 : 1, 2, 229, 458

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

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,326,458,564,717, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

326:2x 163

458:2x 229

564:2x 2x 3x 47

717:3x 239

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 3 = 72

Therefore, the value for common factors is 72.

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 = 38038369007520/(1x72)

LCM = 38038369007520/72

LCM = 528310680660

Thus, we can understand that the LCM of 630,326,458,564,717 is 528310680660.

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

• LCM of 324, 684, 153, 315, 459
• LCM of 608, 239, 394, 155, 215
• LCM of 564, 275, 288, 689, 344
• LCM of 133, 648, 446, 260, 694
• LCM of 126, 246, 176, 455, 889

1. What is the LCM of 630, 326, 458, 564, 717?

Answer: LCM of 630, 326, 458, 564, 717 is 528310680660.

2. How to calculate the LCM of 630, 326, 458, 564, 717?

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 630, 326, 458, 564, 717.

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}.