Given numbers are 689,533,735,364,816

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

The LCM of 689,533,735,364,816 is 5647540080.

Find LCM of 689,533,735,364,816 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 53 x 41 x 35 x 1 x 68 = 5647540080

Therefore, the lowest common multiple of 689,533,735,364,816 is 5647540080.

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.

689 x 533 x 735 x 364 x 816 = 80172478975680

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.

689 : 1, 13, 53, 689

533 : 1, 13, 41, 533

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 689,533,735,364,816, is 1.

Now, the common factors can be found like this.

689:13x 53

533:13x 41

735:3x 5x 7x 7

364:2x 2x 7x 13

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 3x 7x 13x 13 = 14196

Therefore, the value for common factors is 14196.

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 = 80172478975680/(1x14196)

LCM = 80172478975680/14196

LCM = 5647540080

Thus, we can understand that the LCM of 689,533,735,364,816 is 5647540080.

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

• LCM of 418, 869, 681, 989, 214
• LCM of 179, 600, 194, 781, 336
• LCM of 534, 837, 852, 790, 608
• LCM of 864, 402, 141, 942, 141
• LCM of 817, 424, 572, 870, 361

1. What is the LCM of 689, 533, 735, 364, 816?

Answer: LCM of 689, 533, 735, 364, 816 is 5647540080.

2. How to calculate the LCM of 689, 533, 735, 364, 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 689, 533, 735, 364, 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}.