Given numbers are 414,690,285,572,994

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

The LCM of 414,690,285,572,994 is 5590444860.

Find LCM of 414,690,285,572,994 with Prime Factorization

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

2 x 3 x 5 x 23 x 3 x 1 x 19 x 286 x 497 = 5590444860

Therefore, the lowest common multiple of 414,690,285,572,994 is 5590444860.

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.

414 x 690 x 285 x 572 x 994 = 46288883440800

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.

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

285 : 1, 3, 5, 15, 19, 57, 95, 285

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,690,285,572,994, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

690:2x 3x 5x 23

285:3x 5x 19

572:2x 2x 11x 13

994:2x 7x 71

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 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 46288883440800/(1x8280)

LCM = 46288883440800/8280

LCM = 5590444860

Thus, we can understand that the LCM of 414,690,285,572,994 is 5590444860.

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

• LCM of 597, 780, 453, 536, 260
• LCM of 526, 134, 472, 335, 264
• LCM of 274, 333, 795, 943, 395
• LCM of 582, 348, 490, 952, 393
• LCM of 176, 570, 490, 887, 699

1. What is the LCM of 414, 690, 285, 572, 994?

Answer: LCM of 414, 690, 285, 572, 994 is 5590444860.

2. How to calculate the LCM of 414, 690, 285, 572, 994?

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 414, 690, 285, 572, 994.

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}.