Given numbers are 398,306,440,119,968

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

The LCM of 398,306,440,119,968 is 1031544360.

Find LCM of 398,306,440,119,968 with Prime Factorization

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

2 x 2 x 2 x 11 x 17 x 199 x 9 x 5 x 7 x 11 = 1031544360

Therefore, the lowest common multiple of 398,306,440,119,968 is 1031544360.

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.

398 x 306 x 440 x 119 x 968 = 6172761450240

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.

398 : 1, 2, 199, 398

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

119 : 1, 7, 17, 119

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,306,440,119,968, is 1.

Now, the common factors can be found like this.

398:2x 199

306:2x 3x 3x 17

440:2x 2x 2x 5x 11

119:7x 17

968:2x 2x 2x 11x 11

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 2x 11x 17 = 5984

Therefore, the value for common factors is 5984.

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 = 6172761450240/(1x5984)

LCM = 6172761450240/5984

LCM = 1031544360

Thus, we can understand that the LCM of 398,306,440,119,968 is 1031544360.

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

• LCM of 365, 639, 808, 357, 874
• LCM of 212, 451, 887, 983, 269
• LCM of 907, 749, 740, 114, 299
• LCM of 104, 938, 828, 474, 120
• LCM of 226, 521, 412, 770, 988

1. What is the LCM of 398, 306, 440, 119, 968?

Answer: LCM of 398, 306, 440, 119, 968 is 1031544360.

2. How to calculate the LCM of 398, 306, 440, 119, 968?

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 398, 306, 440, 119, 968.

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}.