Given numbers are 578,268,613,290

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

The LCM of 578,268,613,290 is 6884321020.

Find LCM of 578,268,613,290 with Prime Factorization

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

2 x 289 x 134 x 613 x 145 = 6884321020

Therefore, the lowest common multiple of 578,268,613,290 is 6884321020.

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 268 x 613 x 290 = 27537284080

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

268 : 1, 2, 4, 67, 134, 268

613 : 1, 613

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,268,613,290, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

268:2x 2x 67

613:613

290:2x 5x 29

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 = 27537284080/(1x4)

LCM = 27537284080/4

LCM = 6884321020

Thus, we can understand that the LCM of 578,268,613,290 is 6884321020.

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

• LCM of 948, 862, 722, 736
• LCM of 814, 836, 706, 274
• LCM of 358, 167, 731, 520
• LCM of 992, 630, 383, 175
• LCM of 568, 792, 601, 556

1. What is the LCM of 578, 268, 613, 290?

Answer: LCM of 578, 268, 613, 290 is 6884321020.

2. How to calculate the LCM of 578, 268, 613, 290?

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, 268, 613, 290.

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}.