Given numbers are 684,323,889,544,816

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

The LCM of 684,323,889,544,816 is 82698336.

Find LCM of 684,323,889,544,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 19 x 3 x 1 x 889 x 2 x 1 = 82698336

Therefore, the lowest common multiple of 684,323,889,544,816 is 82698336.

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.

684 x 323 x 889 x 544 x 816 = 87186540091392

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

323 : 1, 17, 19, 323

889 : 1, 7, 127, 889

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 684,323,889,544,816, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

323:17x 19

889:7x 127

544:2x 2x 2x 2x 2x 17

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 17x 17x 19 = 1054272

Therefore, the value for common factors is 1054272.

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 = 87186540091392/(1x1054272)

LCM = 87186540091392/1054272

LCM = 82698336

Thus, we can understand that the LCM of 684,323,889,544,816 is 82698336.

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

• LCM of 556, 564, 574, 547, 547
• LCM of 934, 942, 338, 143, 334
• LCM of 635, 812, 156, 866, 291
• LCM of 580, 562, 975, 172, 751
• LCM of 998, 739, 902, 666, 654

1. What is the LCM of 684, 323, 889, 544, 816?

Answer: LCM of 684, 323, 889, 544, 816 is 82698336.

2. How to calculate the LCM of 684, 323, 889, 544, 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 684, 323, 889, 544, 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}.