Given numbers are 706,18,508

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

The LCM of 706,18,508 is 1613916.

Find LCM of 706,18,508 with Prime Factorization

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

2 x 353 x 9 x 254 = 1613916

Therefore, the lowest common multiple of 706,18,508 is 1613916.

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.

706 x 18 x 508 = 6455664

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.

706 : 1, 2, 353, 706

18 : 1, 2, 3, 6, 9, 18

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,18,508, is 2.

Now, the common factors can be found like this.

706:2x 353

18:2x 3x 3

508:2x 2x 127

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 = 6455664/(2x2)

LCM = 6455664/4

LCM = 1613916

Thus, we can understand that the LCM of 706,18,508 is 1613916.

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

• LCM of 530, 59, 586
• LCM of 412, 69, 689
• LCM of 571, 82, 604
• LCM of 492, 57, 888
• LCM of 925, 94, 354

1. What is the LCM of 706, 18, 508?

Answer: LCM of 706, 18, 508 is 1613916.

2. How to calculate the LCM of 706, 18, 508?

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 706, 18, 508.

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}.