Given numbers are 412,924,664,140

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

The LCM of 412,924,664,140 is 78992760.

Find LCM of 412,924,664,140 with Prime Factorization

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

2 x 2 x 7 x 103 x 33 x 166 x 5 = 78992760

Therefore, the lowest common multiple of 412,924,664,140 is 78992760.

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.

412 x 924 x 664 x 140 = 35388756480

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.

412 : 1, 2, 4, 103, 206, 412

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

664 : 1, 2, 4, 8, 83, 166, 332, 664

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,924,664,140, is 4.

Now, the common factors can be found like this.

412:2x 2x 103

924:2x 2x 3x 7x 11

664:2x 2x 2x 83

140:2x 2x 5x 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 7 = 112

Therefore, the value for common factors is 112.

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 = 35388756480/(4x112)

LCM = 35388756480/448

LCM = 78992760

Thus, we can understand that the LCM of 412,924,664,140 is 78992760.

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

• LCM of 547, 741, 961, 398
• LCM of 727, 346, 555, 386
• LCM of 513, 699, 661, 327
• LCM of 922, 947, 432, 180
• LCM of 766, 780, 227, 893

1. What is the LCM of 412, 924, 664, 140?

Answer: LCM of 412, 924, 664, 140 is 78992760.

2. How to calculate the LCM of 412, 924, 664, 140?

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 412, 924, 664, 140.

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}.