Given numbers are 460,977,168,828

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

The LCM of 460,977,168,828 is 56626920.

Find LCM of 460,977,168,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 977 x 14 x 3 = 56626920

Therefore, the lowest common multiple of 460,977,168,828 is 56626920.

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.

460 x 977 x 168 x 828 = 62516119680

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

977 : 1, 977

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,977,168,828, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

977:977

168:2x 2x 2x 3x 7

828:2x 2x 3x 3x 23

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 62516119680/(1x1104)

LCM = 62516119680/1104

LCM = 56626920

Thus, we can understand that the LCM of 460,977,168,828 is 56626920.

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

• LCM of 233, 498, 289, 476
• LCM of 300, 958, 600, 654
• LCM of 356, 362, 852, 593
• LCM of 412, 828, 462, 329
• LCM of 789, 395, 735, 508

1. What is the LCM of 460, 977, 168, 828?

Answer: LCM of 460, 977, 168, 828 is 56626920.

2. How to calculate the LCM of 460, 977, 168, 828?

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 460, 977, 168, 828.

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}.