Given numbers are 989,214,922,720,213

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

The LCM of 989,214,922,720,213 is 2493858681360.

Find LCM of 989,214,922,720,213 with Prime Factorization

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

2 x 3 x 989 x 107 x 461 x 120 x 71 = 2493858681360

Therefore, the lowest common multiple of 989,214,922,720,213 is 2493858681360.

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.

989 x 214 x 922 x 720 x 213 = 29926304176320

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.

989 : 1, 23, 43, 989

214 : 1, 2, 107, 214

922 : 1, 2, 461, 922

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,214,922,720,213, is 1.

Now, the common factors can be found like this.

989:23x 43

214:2x 107

922:2x 461

720:2x 2x 2x 2x 3x 3x 5

213:3x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 29926304176320/(1x12)

LCM = 29926304176320/12

LCM = 2493858681360

Thus, we can understand that the LCM of 989,214,922,720,213 is 2493858681360.

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

• LCM of 713, 669, 360, 100, 388
• LCM of 517, 734, 521, 645, 228
• LCM of 800, 967, 341, 767, 227
• LCM of 751, 324, 472, 632, 132
• LCM of 988, 358, 741, 797, 289

1. What is the LCM of 989, 214, 922, 720, 213?

Answer: LCM of 989, 214, 922, 720, 213 is 2493858681360.

2. How to calculate the LCM of 989, 214, 922, 720, 213?

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 989, 214, 922, 720, 213.

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}.