Given numbers are 719,106,689,214,112

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

The LCM of 719,106,689,214,112 is 5936765744.

Find LCM of 719,106,689,214,112 with Prime Factorization

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

2 x 53 x 719 x 1 x 13 x 107 x 56 = 5936765744

Therefore, the lowest common multiple of 719,106,689,214,112 is 5936765744.

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.

719 x 106 x 689 x 214 x 112 = 1258594337728

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.

719 : 1, 719

106 : 1, 2, 53, 106

689 : 1, 13, 53, 689

214 : 1, 2, 107, 214

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,106,689,214,112, is 1.

Now, the common factors can be found like this.

719:719

106:2x 53

689:13x 53

214:2x 107

112:2x 2x 2x 2x 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 2x 53 = 212

Therefore, the value for common factors is 212.

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 = 1258594337728/(1x212)

LCM = 1258594337728/212

LCM = 5936765744

Thus, we can understand that the LCM of 719,106,689,214,112 is 5936765744.

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

• LCM of 510, 370, 330, 727, 100
• LCM of 233, 104, 386, 395, 625
• LCM of 262, 955, 316, 614, 169
• LCM of 699, 871, 594, 686, 921
• LCM of 711, 528, 958, 626, 938

1. What is the LCM of 719, 106, 689, 214, 112?

Answer: LCM of 719, 106, 689, 214, 112 is 5936765744.

2. How to calculate the LCM of 719, 106, 689, 214, 112?

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 719, 106, 689, 214, 112.

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}.