Given numbers are 427,466,408,750

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

The LCM of 427,466,408,750 is 5074041000.

Find LCM of 427,466,408,750 with Prime Factorization

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

2 x 3 x 427 x 233 x 68 x 125 = 5074041000

Therefore, the lowest common multiple of 427,466,408,750 is 5074041000.

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 466 x 408 x 750 = 60888492000

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

466 : 1, 2, 233, 466

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,466,408,750, is 1.

Now, the common factors can be found like this.

427:7x 61

466:2x 233

408:2x 2x 2x 3x 17

750:2x 3x 5x 5x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 60888492000/(1x12)

LCM = 60888492000/12

LCM = 5074041000

Thus, we can understand that the LCM of 427,466,408,750 is 5074041000.

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

• LCM of 720, 315, 944, 160
• LCM of 626, 702, 507, 219
• LCM of 496, 145, 983, 125
• LCM of 382, 479, 393, 771
• LCM of 745, 372, 539, 922

1. What is the LCM of 427, 466, 408, 750?

Answer: LCM of 427, 466, 408, 750 is 5074041000.

2. How to calculate the LCM of 427, 466, 408, 750?

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, 466, 408, 750.

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}.