Given numbers are 402,497,968,792,220

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

The LCM of 402,497,968,792,220 is 1450504440.

Find LCM of 402,497,968,792,220 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 67 x 497 x 11 x 3 x 5 = 1450504440

Therefore, the lowest common multiple of 402,497,968,792,220 is 1450504440.

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 497 x 968 x 792 x 220 = 33698119150080

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

497 : 1, 7, 71, 497

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,497,968,792,220, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

497:7x 71

968:2x 2x 2x 11x 11

792:2x 2x 2x 3x 3x 11

220:2x 2x 5x 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 2x 2x 2x 3x 11x 11 = 23232

Therefore, the value for common factors is 23232.

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 = 33698119150080/(1x23232)

LCM = 33698119150080/23232

LCM = 1450504440

Thus, we can understand that the LCM of 402,497,968,792,220 is 1450504440.

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

• LCM of 972, 957, 923, 385, 161
• LCM of 995, 714, 212, 463, 753
• LCM of 272, 367, 236, 913, 676
• LCM of 284, 140, 193, 149, 886
• LCM of 859, 452, 359, 403, 845

1. What is the LCM of 402, 497, 968, 792, 220?

Answer: LCM of 402, 497, 968, 792, 220 is 1450504440.

2. How to calculate the LCM of 402, 497, 968, 792, 220?

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, 497, 968, 792, 220.

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}.