Given numbers are 402,800,526,968

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

The LCM of 402,800,526,968 is 5117138400.

Find LCM of 402,800,526,968 with Prime Factorization

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

2 x 2 x 2 x 201 x 100 x 263 x 121 = 5117138400

Therefore, the lowest common multiple of 402,800,526,968 is 5117138400.

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.

402 x 800 x 526 x 968 = 163748428800

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.

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

526 : 1, 2, 263, 526

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,800,526,968, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

800:2x 2x 2x 2x 2x 5x 5

526:2x 263

968:2x 2x 2x 11x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 163748428800/(2x16)

LCM = 163748428800/32

LCM = 5117138400

Thus, we can understand that the LCM of 402,800,526,968 is 5117138400.

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

• LCM of 856, 152, 981, 112
• LCM of 589, 303, 909, 690
• LCM of 143, 884, 456, 418
• LCM of 875, 211, 654, 869
• LCM of 881, 737, 677, 836

1. What is the LCM of 402, 800, 526, 968?

Answer: LCM of 402, 800, 526, 968 is 5117138400.

2. How to calculate the LCM of 402, 800, 526, 968?

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 402, 800, 526, 968.

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}.