Given numbers are 431,720,748,218

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

The LCM of 431,720,748,218 is 6325252560.

Find LCM of 431,720,748,218 with Prime Factorization

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

2 x 2 x 431 x 180 x 187 x 109 = 6325252560

Therefore, the lowest common multiple of 431,720,748,218 is 6325252560.

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.

431 x 720 x 748 x 218 = 50602020480

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.

431 : 1, 431

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,720,748,218, is 1.

Now, the common factors can be found like this.

431:431

720:2x 2x 2x 2x 3x 3x 5

748:2x 2x 11x 17

218:2x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 50602020480/(1x8)

LCM = 50602020480/8

LCM = 6325252560

Thus, we can understand that the LCM of 431,720,748,218 is 6325252560.

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

• LCM of 576, 727, 737, 106
• LCM of 234, 104, 943, 232
• LCM of 272, 368, 712, 527
• LCM of 555, 346, 155, 899
• LCM of 391, 219, 814, 224

1. What is the LCM of 431, 720, 748, 218?

Answer: LCM of 431, 720, 748, 218 is 6325252560.

2. How to calculate the LCM of 431, 720, 748, 218?

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 431, 720, 748, 218.

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}.