Given numbers are 756,792,744,589,963

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

The LCM of 756,792,744,589,963 is 1048198536.

Find LCM of 756,792,744,589,963 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 31 x 21 x 11 x 1 x 19 x 107 = 1048198536

Therefore, the lowest common multiple of 756,792,744,589,963 is 1048198536.

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.

756 x 792 x 744 x 589 x 963 = 252674546294016

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.

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

589 : 1, 19, 31, 589

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,792,744,589,963, is 1.

Now, the common factors can be found like this.

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

792:2x 2x 2x 3x 3x 11

744:2x 2x 2x 3x 31

589:19x 31

963:3x 3x 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 3x 3x 3x 3x 3x 31 = 241056

Therefore, the value for common factors is 241056.

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 = 252674546294016/(1x241056)

LCM = 252674546294016/241056

LCM = 1048198536

Thus, we can understand that the LCM of 756,792,744,589,963 is 1048198536.

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

• LCM of 390, 285, 890, 421, 461
• LCM of 586, 837, 745, 537, 579
• LCM of 775, 111, 688, 630, 754
• LCM of 121, 760, 841, 491, 826
• LCM of 735, 726, 801, 717, 217

1. What is the LCM of 756, 792, 744, 589, 963?

Answer: LCM of 756, 792, 744, 589, 963 is 1048198536.

2. How to calculate the LCM of 756, 792, 744, 589, 963?

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 756, 792, 744, 589, 963.

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}.