Given numbers are 762,528,644,920

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

The LCM of 762,528,644,920 is 53980080.

Find LCM of 762,528,644,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 127 x 22 x 7 x 5 = 53980080

Therefore, the lowest common multiple of 762,528,644,920 is 53980080.

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.

762 x 528 x 644 x 920 = 238376033280

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,528,644,920, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

528:2x 2x 2x 2x 3x 11

644:2x 2x 7x 23

920:2x 2x 2x 5x 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 2x 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 238376033280/(2x2208)

LCM = 238376033280/4416

LCM = 53980080

Thus, we can understand that the LCM of 762,528,644,920 is 53980080.

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

• LCM of 548, 530, 228, 481
• LCM of 982, 934, 741, 486
• LCM of 199, 366, 674, 781
• LCM of 747, 255, 447, 678
• LCM of 637, 623, 530, 667

1. What is the LCM of 762, 528, 644, 920?

Answer: LCM of 762, 528, 644, 920 is 53980080.

2. How to calculate the LCM of 762, 528, 644, 920?

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 762, 528, 644, 920.

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}.