Given numbers are 514,217,807,985,965

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

The LCM of 514,217,807,985,965 is 17111572712430.

Find LCM of 514,217,807,985,965 with Prime Factorization

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

5 x 514 x 217 x 807 x 197 x 193 = 17111572712430

Therefore, the lowest common multiple of 514,217,807,985,965 is 17111572712430.

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 217 x 807 x 985 x 965 = 85557863562150

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

217 : 1, 7, 31, 217

807 : 1, 3, 269, 807

985 : 1, 5, 197, 985

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,217,807,985,965, is 1.

Now, the common factors can be found like this.

514:2x 257

217:7x 31

807:3x 269

985:5x 197

965:5x 193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 85557863562150/(1x5)

LCM = 85557863562150/5

LCM = 17111572712430

Thus, we can understand that the LCM of 514,217,807,985,965 is 17111572712430.

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

• LCM of 160, 417, 784, 214, 233
• LCM of 352, 810, 951, 838, 592
• LCM of 717, 816, 376, 915, 546
• LCM of 501, 762, 522, 960, 335
• LCM of 263, 916, 148, 545, 344

1. What is the LCM of 514, 217, 807, 985, 965?

Answer: LCM of 514, 217, 807, 985, 965 is 17111572712430.

2. How to calculate the LCM of 514, 217, 807, 985, 965?

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, 217, 807, 985, 965.

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}.