Given numbers are 514,331,971,442,704

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

The LCM of 514,331,971,442,704 is 12851247268288.

Find LCM of 514,331,971,442,704 with Prime Factorization

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

2 x 257 x 331 x 971 x 221 x 352 = 12851247268288

Therefore, the lowest common multiple of 514,331,971,442,704 is 12851247268288.

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 331 x 971 x 442 x 704 = 51404989073152

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

331 : 1, 331

971 : 1, 971

442 : 1, 2, 13, 17, 26, 34, 221, 442

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,331,971,442,704, is 1.

Now, the common factors can be found like this.

514:2x 257

331:331

971:971

442:2x 13x 17

704:2x 2x 2x 2x 2x 2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 51404989073152/(1x4)

LCM = 51404989073152/4

LCM = 12851247268288

Thus, we can understand that the LCM of 514,331,971,442,704 is 12851247268288.

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

• LCM of 181, 319, 791, 367, 713
• LCM of 831, 262, 984, 585, 624
• LCM of 591, 120, 290, 580, 271
• LCM of 435, 893, 482, 319, 147
• LCM of 754, 990, 310, 824, 481

1. What is the LCM of 514, 331, 971, 442, 704?

Answer: LCM of 514, 331, 971, 442, 704 is 12851247268288.

2. How to calculate the LCM of 514, 331, 971, 442, 704?

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, 331, 971, 442, 704.

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}.