Given numbers are 514,518,752,706,577

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

The LCM of 514,518,752,706,577 is 10195329039056.

Find LCM of 514,518,752,706,577 with Prime Factorization

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

2 x 257 x 259 x 376 x 353 x 577 = 10195329039056

Therefore, the lowest common multiple of 514,518,752,706,577 is 10195329039056.

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.

514 x 518 x 752 x 706 x 577 = 81562632312448

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.

514 : 1, 2, 257, 514

518 : 1, 2, 7, 14, 37, 74, 259, 518

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

706 : 1, 2, 353, 706

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,518,752,706,577, is 1.

Now, the common factors can be found like this.

514:2x 257

518:2x 7x 37

752:2x 2x 2x 2x 47

706:2x 353

577:577

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 2 = 8

Therefore, the value for common factors is 8.

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 = 81562632312448/(1x8)

LCM = 81562632312448/8

LCM = 10195329039056

Thus, we can understand that the LCM of 514,518,752,706,577 is 10195329039056.

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

• LCM of 817, 251, 914, 138, 510
• LCM of 241, 195, 918, 481, 296
• LCM of 722, 462, 164, 798, 851
• LCM of 112, 263, 652, 544, 156
• LCM of 496, 126, 532, 768, 461

1. What is the LCM of 514, 518, 752, 706, 577?

Answer: LCM of 514, 518, 752, 706, 577 is 10195329039056.

2. How to calculate the LCM of 514, 518, 752, 706, 577?

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 514, 518, 752, 706, 577.

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}.