Given numbers are 790,458,924,914

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

The LCM of 790,458,924,914 is 38196251940.

Find LCM of 790,458,924,914 with Prime Factorization

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

2 x 395 x 229 x 462 x 457 = 38196251940

Therefore, the lowest common multiple of 790,458,924,914 is 38196251940.

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.

790 x 458 x 924 x 914 = 305570015520

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

458 : 1, 2, 229, 458

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

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,458,924,914, is 2.

Now, the common factors can be found like this.

790:2x 5x 79

458:2x 229

924:2x 2x 3x 7x 11

914:2x 457

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 305570015520/(2x4)

LCM = 305570015520/8

LCM = 38196251940

Thus, we can understand that the LCM of 790,458,924,914 is 38196251940.

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

• LCM of 891, 599, 975, 749
• LCM of 426, 835, 132, 229
• LCM of 587, 606, 631, 745
• LCM of 741, 489, 805, 160
• LCM of 915, 316, 581, 401

1. What is the LCM of 790, 458, 924, 914?

Answer: LCM of 790, 458, 924, 914 is 38196251940.

2. How to calculate the LCM of 790, 458, 924, 914?

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 790, 458, 924, 914.

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}.