Given numbers are 669,30,407

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

The LCM of 669,30,407 is 2722830.

Find LCM of 669,30,407 with Prime Factorization

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

3 x 223 x 10 x 407 = 2722830

Therefore, the lowest common multiple of 669,30,407 is 2722830.

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.

669 x 30 x 407 = 8168490

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.

669 : 1, 3, 223, 669

30 : 1, 2, 3, 5, 6, 10, 15, 30

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,30,407, is 1.

Now, the common factors can be found like this.

669:3x 223

30:2x 3x 5

407:11x 37

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

3 = 3

Therefore, the value for common factors is 3.

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 = 8168490/(1x3)

LCM = 8168490/3

LCM = 2722830

Thus, we can understand that the LCM of 669,30,407 is 2722830.

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

• LCM of 903, 58, 927
• LCM of 482, 81, 533
• LCM of 288, 24, 714
• LCM of 276, 72, 740
• LCM of 456, 17, 707

1. What is the LCM of 669, 30, 407?

Answer: LCM of 669, 30, 407 is 2722830.

2. How to calculate the LCM of 669, 30, 407?

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 669, 30, 407.

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}.