Given numbers are 578,104,379,724,964

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

The LCM of 578,104,379,724,964 is 496896582104.

Find LCM of 578,104,379,724,964 with Prime Factorization

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

2 x 2 x 289 x 26 x 379 x 181 x 241 = 496896582104

Therefore, the lowest common multiple of 578,104,379,724,964 is 496896582104.

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.

578 x 104 x 379 x 724 x 964 = 15900690627328

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.

578 : 1, 2, 17, 34, 289, 578

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

379 : 1, 379

724 : 1, 2, 4, 181, 362, 724

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,104,379,724,964, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

104:2x 2x 2x 13

379:379

724:2x 2x 181

964:2x 2x 241

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 2 = 32

Therefore, the value for common factors is 32.

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 = 15900690627328/(1x32)

LCM = 15900690627328/32

LCM = 496896582104

Thus, we can understand that the LCM of 578,104,379,724,964 is 496896582104.

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

• LCM of 627, 604, 370, 773, 159
• LCM of 145, 790, 143, 818, 305
• LCM of 592, 615, 739, 674, 686
• LCM of 902, 959, 508, 399, 682
• LCM of 374, 657, 305, 416, 186

1. What is the LCM of 578, 104, 379, 724, 964?

Answer: LCM of 578, 104, 379, 724, 964 is 496896582104.

2. How to calculate the LCM of 578, 104, 379, 724, 964?

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 578, 104, 379, 724, 964.

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}.