Given numbers are 468,268,743,506,720

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

The LCM of 468,268,743,506,720 is 117885390480.

Find LCM of 468,268,743,506,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 67 x 743 x 253 x 20 = 117885390480

Therefore, the lowest common multiple of 468,268,743,506,720 is 117885390480.

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.

468 x 268 x 743 x 506 x 720 = 33950992458240

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

268 : 1, 2, 4, 67, 134, 268

743 : 1, 743

506 : 1, 2, 11, 22, 23, 46, 253, 506

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,268,743,506,720, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

268:2x 2x 67

743:743

506:2x 11x 23

720:2x 2x 2x 2x 3x 3x 5

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 3 = 288

Therefore, the value for common factors is 288.

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 = 33950992458240/(1x288)

LCM = 33950992458240/288

LCM = 117885390480

Thus, we can understand that the LCM of 468,268,743,506,720 is 117885390480.

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

• LCM of 767, 660, 596, 807, 928
• LCM of 594, 117, 732, 574, 362
• LCM of 931, 940, 274, 116, 556
• LCM of 351, 886, 356, 770, 685
• LCM of 181, 920, 690, 938, 652

1. What is the LCM of 468, 268, 743, 506, 720?

Answer: LCM of 468, 268, 743, 506, 720 is 117885390480.

2. How to calculate the LCM of 468, 268, 743, 506, 720?

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 468, 268, 743, 506, 720.

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}.