Given numbers are 214,924,726,989

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

The LCM of 214,924,726,989 is 1075584972.

Find LCM of 214,924,726,989 with Prime Factorization

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

2 x 3 x 11 x 107 x 14 x 11 x 989 = 1075584972

Therefore, the lowest common multiple of 214,924,726,989 is 1075584972.

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.

214 x 924 x 726 x 989 = 141977216304

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.

214 : 1, 2, 107, 214

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,924,726,989, is 1.

Now, the common factors can be found like this.

214:2x 107

924:2x 2x 3x 7x 11

726:2x 3x 11x 11

989:23x 43

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 141977216304/(1x132)

LCM = 141977216304/132

LCM = 1075584972

Thus, we can understand that the LCM of 214,924,726,989 is 1075584972.

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

• LCM of 823, 524, 609, 802
• LCM of 266, 258, 569, 417
• LCM of 276, 826, 612, 409
• LCM of 674, 940, 182, 126
• LCM of 930, 709, 247, 856

1. What is the LCM of 214, 924, 726, 989?

Answer: LCM of 214, 924, 726, 989 is 1075584972.

2. How to calculate the LCM of 214, 924, 726, 989?

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 214, 924, 726, 989.

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}.