Given numbers are 323,703,828,733,971

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

The LCM of 323,703,828,733,971 is 7043001611004.

Find LCM of 323,703,828,733,971 with Prime Factorization

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

19 x 17 x 37 x 828 x 733 x 971 = 7043001611004

Therefore, the lowest common multiple of 323,703,828,733,971 is 7043001611004.

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.

323 x 703 x 828 x 733 x 971 = 133817030609076

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.

323 : 1, 17, 19, 323

703 : 1, 19, 37, 703

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

733 : 1, 733

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,703,828,733,971, is 1.

Now, the common factors can be found like this.

323:17x 19

703:19x 37

828:2x 2x 3x 3x 23

733:733

971:971

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

19 = 19

Therefore, the value for common factors is 19.

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 = 133817030609076/(1x19)

LCM = 133817030609076/19

LCM = 7043001611004

Thus, we can understand that the LCM of 323,703,828,733,971 is 7043001611004.

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

• LCM of 882, 771, 523, 580, 770
• LCM of 342, 711, 702, 810, 692
• LCM of 257, 513, 901, 797, 602
• LCM of 579, 357, 154, 193, 244
• LCM of 220, 812, 200, 465, 162

1. What is the LCM of 323, 703, 828, 733, 971?

Answer: LCM of 323, 703, 828, 733, 971 is 7043001611004.

2. How to calculate the LCM of 323, 703, 828, 733, 971?

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 323, 703, 828, 733, 971.

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}.