Given numbers are 720,752,828,402

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

The LCM of 720,752,828,402 is 52147440.

Find LCM of 720,752,828,402 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 47 x 23 x 67 = 52147440

Therefore, the lowest common multiple of 720,752,828,402 is 52147440.

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.

720 x 752 x 828 x 402 = 180221552640

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.

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

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,752,828,402, is 2.

Now, the common factors can be found like this.

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

752:2x 2x 2x 2x 47

828:2x 2x 3x 3x 23

402:2x 3x 67

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 180221552640/(2x1728)

LCM = 180221552640/3456

LCM = 52147440

Thus, we can understand that the LCM of 720,752,828,402 is 52147440.

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

• LCM of 972, 634, 619, 951
• LCM of 579, 317, 562, 758
• LCM of 257, 476, 384, 108
• LCM of 310, 635, 973, 968
• LCM of 198, 976, 579, 787

1. What is the LCM of 720, 752, 828, 402?

Answer: LCM of 720, 752, 828, 402 is 52147440.

2. How to calculate the LCM of 720, 752, 828, 402?

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 720, 752, 828, 402.

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}.