Given numbers are 831,174,420,495,816

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

The LCM of 831,174,420,495,816 is 7570941840.

Find LCM of 831,174,420,495,816 with Prime Factorization

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

2 x 2 x 3 x 5 x 277 x 29 x 7 x 33 x 68 = 7570941840

Therefore, the lowest common multiple of 831,174,420,495,816 is 7570941840.

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.

831 x 174 x 420 x 495 x 816 = 24529851561600

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.

831 : 1, 3, 277, 831

174 : 1, 2, 3, 6, 29, 58, 87, 174

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,174,420,495,816, is 3.

Now, the common factors can be found like this.

831:3x 277

174:2x 3x 29

420:2x 2x 3x 5x 7

495:3x 3x 5x 11

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 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 24529851561600/(3x1080)

LCM = 24529851561600/3240

LCM = 7570941840

Thus, we can understand that the LCM of 831,174,420,495,816 is 7570941840.

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

• LCM of 791, 861, 293, 344, 590
• LCM of 221, 511, 909, 661, 107
• LCM of 536, 160, 252, 751, 714
• LCM of 452, 339, 789, 465, 567
• LCM of 272, 669, 345, 696, 967

1. What is the LCM of 831, 174, 420, 495, 816?

Answer: LCM of 831, 174, 420, 495, 816 is 7570941840.

2. How to calculate the LCM of 831, 174, 420, 495, 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 831, 174, 420, 495, 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}.