Given numbers are 401,517,704,802,343

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

The LCM of 401,517,704,802,343 is 4551022784.

Find LCM of 401,517,704,802,343 with Prime Factorization

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

2 x 11 x 401 x 1 x 47 x 32 x 1 x 343 = 4551022784

Therefore, the lowest common multiple of 401,517,704,802,343 is 4551022784.

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.

401 x 517 x 704 x 802 x 343 = 40149123000448

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.

401 : 1, 401

517 : 1, 11, 47, 517

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

802 : 1, 2, 401, 802

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,517,704,802,343, is 1.

Now, the common factors can be found like this.

401:401

517:11x 47

704:2x 2x 2x 2x 2x 2x 11

802:2x 401

343:7x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 401 = 8822

Therefore, the value for common factors is 8822.

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 = 40149123000448/(1x8822)

LCM = 40149123000448/8822

LCM = 4551022784

Thus, we can understand that the LCM of 401,517,704,802,343 is 4551022784.

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

• LCM of 949, 994, 799, 235, 712
• LCM of 631, 601, 383, 909, 511
• LCM of 457, 410, 258, 317, 597
• LCM of 324, 752, 152, 131, 575
• LCM of 999, 973, 827, 518, 377

1. What is the LCM of 401, 517, 704, 802, 343?

Answer: LCM of 401, 517, 704, 802, 343 is 4551022784.

2. How to calculate the LCM of 401, 517, 704, 802, 343?

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 401, 517, 704, 802, 343.

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}.