Given numbers are 644,232,424,996,756

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

The LCM of 644,232,424,996,756 is 4436409096.

Find LCM of 644,232,424,996,756 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 23 x 29 x 53 x 83 x 9 = 4436409096

Therefore, the lowest common multiple of 644,232,424,996,756 is 4436409096.

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.

644 x 232 x 424 x 996 x 756 = 47700270600192

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.

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

424 : 1, 2, 4, 8, 53, 106, 212, 424

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,232,424,996,756, is 4.

Now, the common factors can be found like this.

644:2x 2x 7x 23

232:2x 2x 2x 29

424:2x 2x 2x 53

996:2x 2x 3x 83

756:2x 2x 3x 3x 3x 7

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 3x 7 = 2688

Therefore, the value for common factors is 2688.

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 = 47700270600192/(4x2688)

LCM = 47700270600192/10752

LCM = 4436409096

Thus, we can understand that the LCM of 644,232,424,996,756 is 4436409096.

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

• LCM of 502, 865, 516, 452, 777
• LCM of 941, 830, 878, 136, 558
• LCM of 718, 600, 975, 209, 341
• LCM of 151, 864, 969, 836, 589
• LCM of 578, 197, 300, 355, 644

1. What is the LCM of 644, 232, 424, 996, 756?

Answer: LCM of 644, 232, 424, 996, 756 is 4436409096.

2. How to calculate the LCM of 644, 232, 424, 996, 756?

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 644, 232, 424, 996, 756.

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}.