Given numbers are 924,612,214,336

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

The LCM of 924,612,214,336 is 20169072.

Find LCM of 924,612,214,336 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 51 x 107 x 4 = 20169072

Therefore, the lowest common multiple of 924,612,214,336 is 20169072.

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.

924 x 612 x 214 x 336 = 40660849152

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.

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

214 : 1, 2, 107, 214

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,612,214,336, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

612:2x 2x 3x 3x 17

214:2x 107

336:2x 2x 2x 2x 3x 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 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 40660849152/(2x1008)

LCM = 40660849152/2016

LCM = 20169072

Thus, we can understand that the LCM of 924,612,214,336 is 20169072.

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

• LCM of 875, 302, 411, 812
• LCM of 318, 314, 243, 794
• LCM of 997, 403, 320, 178
• LCM of 602, 600, 271, 652
• LCM of 573, 788, 761, 844

1. What is the LCM of 924, 612, 214, 336?

Answer: LCM of 924, 612, 214, 336 is 20169072.

2. How to calculate the LCM of 924, 612, 214, 336?

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 924, 612, 214, 336.

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}.