Given numbers are 427,642,540,398,120

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

The LCM of 427,642,540,398,120 is 9819479880.

Find LCM of 427,642,540,398,120 with Prime Factorization

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

2 x 2 x 3 x 5 x 427 x 107 x 9 x 199 x 2 = 9819479880

Therefore, the lowest common multiple of 427,642,540,398,120 is 9819479880.

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.

427 x 642 x 540 x 398 x 120 = 7070025513600

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.

427 : 1, 7, 61, 427

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

398 : 1, 2, 199, 398

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,642,540,398,120, is 1.

Now, the common factors can be found like this.

427:7x 61

642:2x 3x 107

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

398:2x 199

120:2x 2x 2x 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 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 7070025513600/(1x720)

LCM = 7070025513600/720

LCM = 9819479880

Thus, we can understand that the LCM of 427,642,540,398,120 is 9819479880.

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

• LCM of 956, 174, 165, 312, 938
• LCM of 282, 869, 197, 657, 966
• LCM of 966, 772, 541, 101, 856
• LCM of 163, 258, 338, 667, 955
• LCM of 336, 655, 647, 487, 438

1. What is the LCM of 427, 642, 540, 398, 120?

Answer: LCM of 427, 642, 540, 398, 120 is 9819479880.

2. How to calculate the LCM of 427, 642, 540, 398, 120?

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 427, 642, 540, 398, 120.

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}.