Given numbers are 494,968,415,792

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

The LCM of 494,968,415,792 is 893023560.

Find LCM of 494,968,415,792 with Prime Factorization

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

2 x 2 x 2 x 11 x 247 x 11 x 415 x 9 = 893023560

Therefore, the lowest common multiple of 494,968,415,792 is 893023560.

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.

494 x 968 x 415 x 792 = 157172146560

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

415 : 1, 5, 83, 415

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,968,415,792, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

968:2x 2x 2x 11x 11

415:5x 83

792:2x 2x 2x 3x 3x 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 11 = 176

Therefore, the value for common factors is 176.

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 = 157172146560/(1x176)

LCM = 157172146560/176

LCM = 893023560

Thus, we can understand that the LCM of 494,968,415,792 is 893023560.

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

• LCM of 988, 887, 187, 168
• LCM of 519, 656, 773, 771
• LCM of 423, 892, 231, 620
• LCM of 510, 988, 487, 716
• LCM of 654, 612, 280, 490

1. What is the LCM of 494, 968, 415, 792?

Answer: LCM of 494, 968, 415, 792 is 893023560.

2. How to calculate the LCM of 494, 968, 415, 792?

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 494, 968, 415, 792.

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}.