Given numbers are 487,407,540,700

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

The LCM of 487,407,540,700 is 3746150100.

Find LCM of 487,407,540,700 with Prime Factorization

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

2 x 2 x 5 x 487 x 407 x 27 x 35 = 3746150100

Therefore, the lowest common multiple of 487,407,540,700 is 3746150100.

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.

487 x 407 x 540 x 700 = 74923002000

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.

487 : 1, 487

407 : 1, 11, 37, 407

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,407,540,700, is 1.

Now, the common factors can be found like this.

487:487

407:11x 37

540:2x 2x 3x 3x 3x 5

700:2x 2x 5x 5x 7

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 5 = 20

Therefore, the value for common factors is 20.

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 = 74923002000/(1x20)

LCM = 74923002000/20

LCM = 3746150100

Thus, we can understand that the LCM of 487,407,540,700 is 3746150100.

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

• LCM of 249, 907, 336, 583
• LCM of 615, 959, 572, 291
• LCM of 684, 736, 383, 133
• LCM of 898, 973, 528, 139
• LCM of 740, 418, 965, 570

1. What is the LCM of 487, 407, 540, 700?

Answer: LCM of 487, 407, 540, 700 is 3746150100.

2. How to calculate the LCM of 487, 407, 540, 700?

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 487, 407, 540, 700.

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}.