Given numbers are 732,596,540,991,816

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

The LCM of 732,596,540,991,816 is 330744347280.

Find LCM of 732,596,540,991,816 with Prime Factorization

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

2 x 2 x 3 x 61 x 149 x 45 x 991 x 68 = 330744347280

Therefore, the lowest common multiple of 732,596,540,991,816 is 330744347280.

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.

732 x 596 x 540 x 991 x 816 = 190508744033280

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

596 : 1, 2, 4, 149, 298, 596

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

991 : 1, 991

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,596,540,991,816, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

596:2x 2x 149

540:2x 2x 3x 3x 3x 5

991:991

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

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 190508744033280/(1x576)

LCM = 190508744033280/576

LCM = 330744347280

Thus, we can understand that the LCM of 732,596,540,991,816 is 330744347280.

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

• LCM of 739, 308, 893, 777, 784
• LCM of 211, 409, 552, 876, 681
• LCM of 576, 329, 977, 725, 525
• LCM of 977, 341, 589, 704, 785
• LCM of 599, 947, 669, 869, 502

1. What is the LCM of 732, 596, 540, 991, 816?

Answer: LCM of 732, 596, 540, 991, 816 is 330744347280.

2. How to calculate the LCM of 732, 596, 540, 991, 816?

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 732, 596, 540, 991, 816.

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}.