Given numbers are 414,336,849,703,765

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

The LCM of 414,336,849,703,765 is 392056857360.

Find LCM of 414,336,849,703,765 with Prime Factorization

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

2 x 3 x 3 x 23 x 56 x 283 x 703 x 85 = 392056857360

Therefore, the lowest common multiple of 414,336,849,703,765 is 392056857360.

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 336 x 849 x 703 x 765 = 63513210892320

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

849 : 1, 3, 283, 849

703 : 1, 19, 37, 703

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,336,849,703,765, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

336:2x 2x 2x 2x 3x 7

849:3x 283

703:19x 37

765:3x 3x 5x 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 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 63513210892320/(1x162)

LCM = 63513210892320/162

LCM = 392056857360

Thus, we can understand that the LCM of 414,336,849,703,765 is 392056857360.

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

• LCM of 606, 890, 352, 354, 154
• LCM of 400, 487, 254, 290, 304
• LCM of 773, 836, 348, 365, 949
• LCM of 419, 383, 775, 223, 523
• LCM of 465, 301, 827, 642, 222

1. What is the LCM of 414, 336, 849, 703, 765?

Answer: LCM of 414, 336, 849, 703, 765 is 392056857360.

2. How to calculate the LCM of 414, 336, 849, 703, 765?

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, 336, 849, 703, 765.

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}.