Given numbers are 415,121,552,120,540

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

The LCM of 415,121,552,120,540 is 249468120.

Find LCM of 415,121,552,120,540 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 83 x 121 x 23 x 1 x 9 = 249468120

Therefore, the lowest common multiple of 415,121,552,120,540 is 249468120.

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.

415 x 121 x 552 x 120 x 540 = 1796170464000

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.

415 : 1, 5, 83, 415

121 : 1, 11, 121

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,121,552,120,540, is 1.

Now, the common factors can be found like this.

415:5x 83

121:11x 11

552:2x 2x 2x 3x 23

120:2x 2x 2x 3x 5

540:2x 2x 3x 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 2x 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 1796170464000/(1x7200)

LCM = 1796170464000/7200

LCM = 249468120

Thus, we can understand that the LCM of 415,121,552,120,540 is 249468120.

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

• LCM of 997, 270, 127, 575, 125
• LCM of 254, 528, 313, 530, 861
• LCM of 223, 147, 259, 395, 328
• LCM of 278, 629, 125, 902, 484
• LCM of 333, 376, 408, 351, 446

1. What is the LCM of 415, 121, 552, 120, 540?

Answer: LCM of 415, 121, 552, 120, 540 is 249468120.

2. How to calculate the LCM of 415, 121, 552, 120, 540?

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 415, 121, 552, 120, 540.

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}.