Given numbers are 662,15,735

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

The LCM of 662,15,735 is 486570.

Find LCM of 662,15,735 with Prime Factorization

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

3 x 5 x 662 x 1 x 49 = 486570

Therefore, the lowest common multiple of 662,15,735 is 486570.

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.

662 x 15 x 735 = 7298550

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.

662 : 1, 2, 331, 662

15 : 1, 3, 5, 15

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,15,735, is 1.

Now, the common factors can be found like this.

662:2x 331

15:3x 5

735:3x 5x 7x 7

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 7298550/(1x15)

LCM = 7298550/15

LCM = 486570

Thus, we can understand that the LCM of 662,15,735 is 486570.

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

• LCM of 921, 13, 548
• LCM of 419, 10, 376
• LCM of 829, 42, 782
• LCM of 338, 19, 288
• LCM of 978, 16, 563

1. What is the LCM of 662, 15, 735?

Answer: LCM of 662, 15, 735 is 486570.

2. How to calculate the LCM of 662, 15, 735?

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 662, 15, 735.

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}.