Given numbers are 454,187,924,828,968

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

The LCM of 454,187,924,828,968 is 5412756888.

Find LCM of 454,187,924,828,968 with Prime Factorization

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

2 x 2 x 3 x 11 x 227 x 17 x 7 x 69 x 22 = 5412756888

Therefore, the lowest common multiple of 454,187,924,828,968 is 5412756888.

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.

454 x 187 x 924 x 828 x 968 = 62874584011008

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.

454 : 1, 2, 227, 454

187 : 1, 11, 17, 187

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,187,924,828,968, is 1.

Now, the common factors can be found like this.

454:2x 227

187:11x 17

924:2x 2x 3x 7x 11

828:2x 2x 3x 3x 23

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 2x 2x 3x 11x 11 = 11616

Therefore, the value for common factors is 11616.

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 = 62874584011008/(1x11616)

LCM = 62874584011008/11616

LCM = 5412756888

Thus, we can understand that the LCM of 454,187,924,828,968 is 5412756888.

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

• LCM of 765, 700, 939, 520, 715
• LCM of 208, 464, 411, 570, 717
• LCM of 220, 890, 616, 566, 873
• LCM of 443, 968, 488, 430, 970
• LCM of 906, 285, 661, 568, 608

1. What is the LCM of 454, 187, 924, 828, 968?

Answer: LCM of 454, 187, 924, 828, 968 is 5412756888.

2. How to calculate the LCM of 454, 187, 924, 828, 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 454, 187, 924, 828, 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}.