Given numbers are 969,414,684,396,613

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

The LCM of 969,414,684,396,613 is 1803374892.

Find LCM of 969,414,684,396,613 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 17 x 23 x 1 x 11 x 613 = 1803374892

Therefore, the lowest common multiple of 969,414,684,396,613 is 1803374892.

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.

969 x 414 x 684 x 396 x 613 = 66609455010912

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,414,684,396,613, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

414:2x 3x 3x 23

684:2x 2x 3x 3x 19

396:2x 2x 3x 3x 11

613:613

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 3x 3x 19 = 36936

Therefore, the value for common factors is 36936.

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 = 66609455010912/(1x36936)

LCM = 66609455010912/36936

LCM = 1803374892

Thus, we can understand that the LCM of 969,414,684,396,613 is 1803374892.

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

• LCM of 755, 606, 466, 728, 229
• LCM of 518, 620, 846, 513, 843
• LCM of 892, 421, 326, 829, 985
• LCM of 405, 482, 386, 220, 730
• LCM of 752, 903, 268, 943, 474

1. What is the LCM of 969, 414, 684, 396, 613?

Answer: LCM of 969, 414, 684, 396, 613 is 1803374892.

2. How to calculate the LCM of 969, 414, 684, 396, 613?

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 969, 414, 684, 396, 613.

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}.