Given numbers are 424,580,372,540

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

The LCM of 424,580,372,540 is 51458760.

Find LCM of 424,580,372,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 106 x 29 x 31 x 9 = 51458760

Therefore, the lowest common multiple of 424,580,372,540 is 51458760.

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.

424 x 580 x 372 x 540 = 49400409600

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,580,372,540, is 4.

Now, the common factors can be found like this.

424:2x 2x 2x 53

580:2x 2x 5x 29

372:2x 2x 3x 31

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 49400409600/(4x240)

LCM = 49400409600/960

LCM = 51458760

Thus, we can understand that the LCM of 424,580,372,540 is 51458760.

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

• LCM of 840, 980, 418, 410
• LCM of 411, 516, 385, 637
• LCM of 152, 877, 109, 977
• LCM of 454, 772, 458, 897
• LCM of 638, 326, 791, 291

1. What is the LCM of 424, 580, 372, 540?

Answer: LCM of 424, 580, 372, 540 is 51458760.

2. How to calculate the LCM of 424, 580, 372, 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 424, 580, 372, 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}.