Given numbers are 578,210,316

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

The LCM of 578,210,316 is 9589020.

Find LCM of 578,210,316 with Prime Factorization

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

2 x 289 x 105 x 158 = 9589020

Therefore, the lowest common multiple of 578,210,316 is 9589020.

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 210 x 316 = 38356080

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

316 : 1, 2, 4, 79, 158, 316

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,210,316, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

210:2x 3x 5x 7

316:2x 2x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38356080/(2x2)

LCM = 38356080/4

LCM = 9589020

Thus, we can understand that the LCM of 578,210,316 is 9589020.

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

• LCM of 435, 195, 148
• LCM of 791, 741, 403
• LCM of 207, 715, 227
• LCM of 812, 223, 628
• LCM of 103, 695, 268

1. What is the LCM of 578, 210, 316?

Answer: LCM of 578, 210, 316 is 9589020.

2. How to calculate the LCM of 578, 210, 316?

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, 210, 316.

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}.