Given numbers are 410,338,702,968,706

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

The LCM of 410,338,702,968,706 is 319635047160.

Find LCM of 410,338,702,968,706 with Prime Factorization

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

2 x 13 x 205 x 13 x 27 x 484 x 353 = 319635047160

Therefore, the lowest common multiple of 410,338,702,968,706 is 319635047160.

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.

410 x 338 x 702 x 968 x 706 = 66484089809280

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

338 : 1, 2, 13, 26, 169, 338

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,338,702,968,706, is 2.

Now, the common factors can be found like this.

410:2x 5x 41

338:2x 13x 13

702:2x 3x 3x 3x 13

968:2x 2x 2x 11x 11

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 13 = 104

Therefore, the value for common factors is 104.

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 = 66484089809280/(2x104)

LCM = 66484089809280/208

LCM = 319635047160

Thus, we can understand that the LCM of 410,338,702,968,706 is 319635047160.

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

• LCM of 200, 443, 952, 312, 197
• LCM of 671, 988, 382, 957, 165
• LCM of 929, 791, 636, 719, 197
• LCM of 406, 317, 125, 511, 574
• LCM of 796, 648, 693, 404, 409

1. What is the LCM of 410, 338, 702, 968, 706?

Answer: LCM of 410, 338, 702, 968, 706 is 319635047160.

2. How to calculate the LCM of 410, 338, 702, 968, 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 410, 338, 702, 968, 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}.