Given numbers are 435,987,170,166,720

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

The LCM of 435,987,170,166,720 is 9692892720.

Find LCM of 435,987,170,166,720 with Prime Factorization

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

2 x 3 x 5 x 29 x 329 x 17 x 83 x 24 = 9692892720

Therefore, the lowest common multiple of 435,987,170,166,720 is 9692892720.

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.

435 x 987 x 170 x 166 x 720 = 8723603448000

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

987 : 1, 3, 7, 21, 47, 141, 329, 987

170 : 1, 2, 5, 10, 17, 34, 85, 170

166 : 1, 2, 83, 166

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,987,170,166,720, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

987:3x 7x 47

170:2x 5x 17

166:2x 83

720:2x 2x 2x 2x 3x 3x 5

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

2x 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 8723603448000/(1x900)

LCM = 8723603448000/900

LCM = 9692892720

Thus, we can understand that the LCM of 435,987,170,166,720 is 9692892720.

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

• LCM of 803, 695, 199, 254, 648
• LCM of 403, 799, 376, 259, 595
• LCM of 127, 383, 379, 845, 578
• LCM of 249, 236, 263, 155, 701
• LCM of 652, 237, 307, 843, 455

1. What is the LCM of 435, 987, 170, 166, 720?

Answer: LCM of 435, 987, 170, 166, 720 is 9692892720.

2. How to calculate the LCM of 435, 987, 170, 166, 720?

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 435, 987, 170, 166, 720.

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}.