Given numbers are 964,208,314,184,717

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

The LCM of 964,208,314,184,717 is 129785753136.

Find LCM of 964,208,314,184,717 with Prime Factorization

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

2 x 2 x 2 x 241 x 26 x 157 x 23 x 717 = 129785753136

Therefore, the lowest common multiple of 964,208,314,184,717 is 129785753136.

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.

964 x 208 x 314 x 184 x 717 = 8306288200704

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.

964 : 1, 2, 4, 241, 482, 964

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

314 : 1, 2, 157, 314

184 : 1, 2, 4, 8, 23, 46, 92, 184

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,208,314,184,717, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

208:2x 2x 2x 2x 13

314:2x 157

184:2x 2x 2x 23

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 8306288200704/(1x64)

LCM = 8306288200704/64

LCM = 129785753136

Thus, we can understand that the LCM of 964,208,314,184,717 is 129785753136.

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

• LCM of 152, 966, 501, 838, 344
• LCM of 830, 830, 482, 507, 236
• LCM of 683, 406, 282, 366, 194
• LCM of 193, 603, 455, 252, 983
• LCM of 606, 253, 237, 161, 244

1. What is the LCM of 964, 208, 314, 184, 717?

Answer: LCM of 964, 208, 314, 184, 717 is 129785753136.

2. How to calculate the LCM of 964, 208, 314, 184, 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 964, 208, 314, 184, 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}.