Given numbers are 314,590,644,986

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

The LCM of 314,590,644,986 is 14704641980.

Find LCM of 314,590,644,986 with Prime Factorization

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

2 x 157 x 295 x 322 x 493 = 14704641980

Therefore, the lowest common multiple of 314,590,644,986 is 14704641980.

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 590 x 644 x 986 = 117637135840

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,590,644,986, is 2.

Now, the common factors can be found like this.

314:2x 157

590:2x 5x 59

644:2x 2x 7x 23

986:2x 17x 29

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 = 117637135840/(2x4)

LCM = 117637135840/8

LCM = 14704641980

Thus, we can understand that the LCM of 314,590,644,986 is 14704641980.

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

• LCM of 477, 666, 664, 800
• LCM of 304, 322, 477, 970
• LCM of 148, 962, 443, 693
• LCM of 800, 917, 582, 348
• LCM of 202, 435, 269, 670

1. What is the LCM of 314, 590, 644, 986?

Answer: LCM of 314, 590, 644, 986 is 14704641980.

2. How to calculate the LCM of 314, 590, 644, 986?

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, 590, 644, 986.

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}.