Given numbers are 314,742,986,592

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

The LCM of 314,742,986,592 is 16999736432.

Find LCM of 314,742,986,592 with Prime Factorization

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

2 x 157 x 371 x 493 x 296 = 16999736432

Therefore, the lowest common multiple of 314,742,986,592 is 16999736432.

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.

314 x 742 x 986 x 592 = 135997891456

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.

314 : 1, 2, 157, 314

742 : 1, 2, 7, 14, 53, 106, 371, 742

986 : 1, 2, 17, 29, 34, 58, 493, 986

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,742,986,592, is 2.

Now, the common factors can be found like this.

314:2x 157

742:2x 7x 53

986:2x 17x 29

592:2x 2x 2x 2x 37

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 = 135997891456/(2x4)

LCM = 135997891456/8

LCM = 16999736432

Thus, we can understand that the LCM of 314,742,986,592 is 16999736432.

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

• LCM of 740, 199, 791, 190
• LCM of 967, 806, 799, 348
• LCM of 510, 376, 994, 842
• LCM of 626, 952, 955, 193
• LCM of 425, 914, 689, 143

1. What is the LCM of 314, 742, 986, 592?

Answer: LCM of 314, 742, 986, 592 is 16999736432.

2. How to calculate the LCM of 314, 742, 986, 592?

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 314, 742, 986, 592.

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}.