Given numbers are 414,249,746,212,470

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

The LCM of 414,249,746,212,470 is 319272117660.

Find LCM of 414,249,746,212,470 with Prime Factorization

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

2 x 3 x 69 x 83 x 373 x 106 x 235 = 319272117660

Therefore, the lowest common multiple of 414,249,746,212,470 is 319272117660.

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 249 x 746 x 212 x 470 = 7662530823840

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

249 : 1, 3, 83, 249

746 : 1, 2, 373, 746

212 : 1, 2, 4, 53, 106, 212

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,249,746,212,470, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

249:3x 83

746:2x 373

212:2x 2x 53

470:2x 5x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7662530823840/(1x24)

LCM = 7662530823840/24

LCM = 319272117660

Thus, we can understand that the LCM of 414,249,746,212,470 is 319272117660.

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

• LCM of 216, 632, 452, 246, 185
• LCM of 581, 401, 514, 267, 788
• LCM of 387, 856, 361, 177, 651
• LCM of 746, 549, 235, 137, 673
• LCM of 916, 667, 472, 328, 312

1. What is the LCM of 414, 249, 746, 212, 470?

Answer: LCM of 414, 249, 746, 212, 470 is 319272117660.

2. How to calculate the LCM of 414, 249, 746, 212, 470?

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, 249, 746, 212, 470.

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}.