Given numbers are 464,491,551,912,110

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

The LCM of 464,491,551,912,110 is 714228240.

Find LCM of 464,491,551,912,110 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 29 x 1 x 491 x 1 x 3 x 55 = 714228240

Therefore, the lowest common multiple of 464,491,551,912,110 is 714228240.

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.

464 x 491 x 551 x 912 x 110 = 12593272327680

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

491 : 1, 491

551 : 1, 19, 29, 551

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,491,551,912,110, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

491:491

551:19x 29

912:2x 2x 2x 2x 3x 19

110:2x 5x 11

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 2x 19x 29 = 17632

Therefore, the value for common factors is 17632.

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 = 12593272327680/(1x17632)

LCM = 12593272327680/17632

LCM = 714228240

Thus, we can understand that the LCM of 464,491,551,912,110 is 714228240.

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

• LCM of 388, 926, 728, 389, 742
• LCM of 840, 681, 402, 624, 152
• LCM of 376, 250, 445, 549, 410
• LCM of 668, 248, 759, 113, 367
• LCM of 302, 486, 124, 245, 863

1. What is the LCM of 464, 491, 551, 912, 110?

Answer: LCM of 464, 491, 551, 912, 110 is 714228240.

2. How to calculate the LCM of 464, 491, 551, 912, 110?

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 464, 491, 551, 912, 110.

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}.