Given numbers are 962,816,728,493

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

The LCM of 962,816,728,493 is 79676688.

Find LCM of 962,816,728,493 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 37 x 6 x 7 x 29 = 79676688

Therefore, the lowest common multiple of 962,816,728,493 is 79676688.

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.

962 x 816 x 728 x 493 = 281736768768

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,816,728,493, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

816:2x 2x 2x 2x 3x 17

728:2x 2x 2x 7x 13

493:17x 29

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 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 281736768768/(1x3536)

LCM = 281736768768/3536

LCM = 79676688

Thus, we can understand that the LCM of 962,816,728,493 is 79676688.

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

• LCM of 345, 870, 233, 367
• LCM of 181, 819, 674, 574
• LCM of 618, 777, 510, 576
• LCM of 831, 712, 497, 547
• LCM of 377, 904, 787, 924

1. What is the LCM of 962, 816, 728, 493?

Answer: LCM of 962, 816, 728, 493 is 79676688.

2. How to calculate the LCM of 962, 816, 728, 493?

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 962, 816, 728, 493.

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}.