Given numbers are 983,700,657,930,816

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

The LCM of 983,700,657,930,816 is 952988223600.

Find LCM of 983,700,657,930,816 with Prime Factorization

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

2 x 2 x 3 x 5 x 983 x 35 x 219 x 31 x 68 = 952988223600

Therefore, the lowest common multiple of 983,700,657,930,816 is 952988223600.

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.

983 x 700 x 657 x 930 x 816 = 343075760496000

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.

983 : 1, 983

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

657 : 1, 3, 9, 73, 219, 657

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 983,700,657,930,816, is 1.

Now, the common factors can be found like this.

983:983

700:2x 2x 5x 5x 7

657:3x 3x 73

930:2x 3x 5x 31

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 343075760496000/(1x360)

LCM = 343075760496000/360

LCM = 952988223600

Thus, we can understand that the LCM of 983,700,657,930,816 is 952988223600.

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

• LCM of 225, 883, 354, 857, 935
• LCM of 532, 904, 751, 428, 850
• LCM of 740, 245, 665, 560, 776
• LCM of 621, 719, 751, 279, 852
• LCM of 123, 857, 795, 625, 968

1. What is the LCM of 983, 700, 657, 930, 816?

Answer: LCM of 983, 700, 657, 930, 816 is 952988223600.

2. How to calculate the LCM of 983, 700, 657, 930, 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 983, 700, 657, 930, 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}.