Given numbers are 104,459,490,684,714

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

The LCM of 104,459,490,684,714 is 222211080.

Find LCM of 104,459,490,684,714 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 17 x 26 x 3 x 35 x 19 x 1 = 222211080

Therefore, the lowest common multiple of 104,459,490,684,714 is 222211080.

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.

104 x 459 x 490 x 684 x 714 = 11423427200640

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

459 : 1, 3, 9, 17, 27, 51, 153, 459

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,459,490,684,714, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

459:3x 3x 3x 17

490:2x 5x 7x 7

684:2x 2x 3x 3x 19

714:2x 3x 7x 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 3x 3x 3x 7x 17 = 51408

Therefore, the value for common factors is 51408.

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 = 11423427200640/(1x51408)

LCM = 11423427200640/51408

LCM = 222211080

Thus, we can understand that the LCM of 104,459,490,684,714 is 222211080.

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

• LCM of 937, 901, 802, 645, 150
• LCM of 893, 383, 547, 874, 413
• LCM of 123, 606, 384, 265, 364
• LCM of 868, 651, 240, 802, 540
• LCM of 324, 582, 830, 636, 233

1. What is the LCM of 104, 459, 490, 684, 714?

Answer: LCM of 104, 459, 490, 684, 714 is 222211080.

2. How to calculate the LCM of 104, 459, 490, 684, 714?

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 104, 459, 490, 684, 714.

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}.