Given numbers are 720,852,664,376,428

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

The LCM of 720,852,664,376,428 is 21337845840.

Find LCM of 720,852,664,376,428 with Prime Factorization

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

2 x 2 x 2 x 3 x 30 x 71 x 83 x 47 x 107 = 21337845840

Therefore, the lowest common multiple of 720,852,664,376,428 is 21337845840.

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.

720 x 852 x 664 x 376 x 428 = 65549862420480

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.

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

664 : 1, 2, 4, 8, 83, 166, 332, 664

376 : 1, 2, 4, 8, 47, 94, 188, 376

428 : 1, 2, 4, 107, 214, 428

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,852,664,376,428, is 4.

Now, the common factors can be found like this.

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

852:2x 2x 3x 71

664:2x 2x 2x 83

376:2x 2x 2x 47

428:2x 2x 107

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 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 65549862420480/(4x768)

LCM = 65549862420480/3072

LCM = 21337845840

Thus, we can understand that the LCM of 720,852,664,376,428 is 21337845840.

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

• LCM of 885, 815, 334, 183, 892
• LCM of 103, 458, 870, 961, 233
• LCM of 955, 870, 278, 779, 972
• LCM of 839, 839, 875, 773, 974
• LCM of 675, 452, 232, 225, 174

1. What is the LCM of 720, 852, 664, 376, 428?

Answer: LCM of 720, 852, 664, 376, 428 is 21337845840.

2. How to calculate the LCM of 720, 852, 664, 376, 428?

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 720, 852, 664, 376, 428.

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}.