Given numbers are 986,168,472,311,335

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

The LCM of 986,168,472,311,335 is 509112087960.

Find LCM of 986,168,472,311,335 with Prime Factorization

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

2 x 2 x 2 x 493 x 21 x 59 x 311 x 335 = 509112087960

Therefore, the lowest common multiple of 986,168,472,311,335 is 509112087960.

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.

986 x 168 x 472 x 311 x 335 = 8145793407360

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.

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

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

311 : 1, 311

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,168,472,311,335, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

168:2x 2x 2x 3x 7

472:2x 2x 2x 59

311:311

335:5x 67

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8145793407360/(1x16)

LCM = 8145793407360/16

LCM = 509112087960

Thus, we can understand that the LCM of 986,168,472,311,335 is 509112087960.

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

• LCM of 970, 448, 424, 676, 188
• LCM of 377, 241, 258, 476, 267
• LCM of 930, 937, 549, 204, 656
• LCM of 409, 804, 223, 923, 746
• LCM of 328, 169, 110, 662, 425

1. What is the LCM of 986, 168, 472, 311, 335?

Answer: LCM of 986, 168, 472, 311, 335 is 509112087960.

2. How to calculate the LCM of 986, 168, 472, 311, 335?

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 986, 168, 472, 311, 335.

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}.