Given numbers are 440,494,829,476,706

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

The LCM of 440,494,829,476,706 is 3784650910040.

Find LCM of 440,494,829,476,706 with Prime Factorization

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

2 x 2 x 110 x 247 x 829 x 119 x 353 = 3784650910040

Therefore, the lowest common multiple of 440,494,829,476,706 is 3784650910040.

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.

440 x 494 x 829 x 476 x 706 = 60554414560640

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

494 : 1, 2, 13, 19, 26, 38, 247, 494

829 : 1, 829

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,494,829,476,706, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

494:2x 13x 19

829:829

476:2x 2x 7x 17

706:2x 353

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 2 = 16

Therefore, the value for common factors is 16.

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 = 60554414560640/(1x16)

LCM = 60554414560640/16

LCM = 3784650910040

Thus, we can understand that the LCM of 440,494,829,476,706 is 3784650910040.

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

• LCM of 984, 641, 407, 108, 239
• LCM of 289, 973, 517, 804, 379
• LCM of 242, 501, 976, 243, 979
• LCM of 851, 159, 974, 492, 661
• LCM of 482, 717, 645, 100, 605

1. What is the LCM of 440, 494, 829, 476, 706?

Answer: LCM of 440, 494, 829, 476, 706 is 3784650910040.

2. How to calculate the LCM of 440, 494, 829, 476, 706?

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 440, 494, 829, 476, 706.

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}.