Given numbers are 705,716,278,399

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

The LCM of 705,716,278,399 is 9331867860.

Find LCM of 705,716,278,399 with Prime Factorization

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

2 x 3 x 235 x 358 x 139 x 133 = 9331867860

Therefore, the lowest common multiple of 705,716,278,399 is 9331867860.

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.

705 x 716 x 278 x 399 = 55991207160

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

716 : 1, 2, 4, 179, 358, 716

278 : 1, 2, 139, 278

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,716,278,399, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

716:2x 2x 179

278:2x 139

399:3x 7x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 55991207160/(1x6)

LCM = 55991207160/6

LCM = 9331867860

Thus, we can understand that the LCM of 705,716,278,399 is 9331867860.

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

• LCM of 915, 819, 591, 672
• LCM of 953, 859, 704, 157
• LCM of 145, 727, 560, 888
• LCM of 350, 786, 338, 696
• LCM of 808, 425, 954, 222

1. What is the LCM of 705, 716, 278, 399?

Answer: LCM of 705, 716, 278, 399 is 9331867860.

2. How to calculate the LCM of 705, 716, 278, 399?

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 705, 716, 278, 399.

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}.