Given numbers are 752,750,506,466

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

The LCM of 752,750,506,466 is 16623618000.

Find LCM of 752,750,506,466 with Prime Factorization

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

2 x 376 x 375 x 253 x 233 = 16623618000

Therefore, the lowest common multiple of 752,750,506,466 is 16623618000.

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.

752 x 750 x 506 x 466 = 132988944000

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

466 : 1, 2, 233, 466

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,750,506,466, is 2.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

750:2x 3x 5x 5x 5

506:2x 11x 23

466:2x 233

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 132988944000/(2x4)

LCM = 132988944000/8

LCM = 16623618000

Thus, we can understand that the LCM of 752,750,506,466 is 16623618000.

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

• LCM of 999, 726, 575, 589
• LCM of 118, 844, 276, 615
• LCM of 870, 168, 811, 199
• LCM of 573, 771, 319, 976
• LCM of 559, 788, 925, 958

1. What is the LCM of 752, 750, 506, 466?

Answer: LCM of 752, 750, 506, 466 is 16623618000.

2. How to calculate the LCM of 752, 750, 506, 466?

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 752, 750, 506, 466.

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}.