Given numbers are 135,217,445,820

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

The LCM of 135,217,445,820 is 427589820.

Find LCM of 135,217,445,820 with Prime Factorization

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

5 x 27 x 217 x 89 x 164 = 427589820

Therefore, the lowest common multiple of 135,217,445,820 is 427589820.

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.

135 x 217 x 445 x 820 = 10689745500

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

217 : 1, 7, 31, 217

445 : 1, 5, 89, 445

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,217,445,820, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

217:7x 31

445:5x 89

820:2x 2x 5x 41

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 10689745500/(1x25)

LCM = 10689745500/25

LCM = 427589820

Thus, we can understand that the LCM of 135,217,445,820 is 427589820.

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

• LCM of 662, 290, 970, 504
• LCM of 569, 952, 314, 733
• LCM of 609, 434, 302, 374
• LCM of 340, 477, 919, 236
• LCM of 342, 454, 944, 973

1. What is the LCM of 135, 217, 445, 820?

Answer: LCM of 135, 217, 445, 820 is 427589820.

2. How to calculate the LCM of 135, 217, 445, 820?

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 135, 217, 445, 820.

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}.