Given numbers are 982,464,107,759,414

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

The LCM of 982,464,107,759,414 is 55506811536.

Find LCM of 982,464,107,759,414 with Prime Factorization

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

2 x 3 x 23 x 491 x 232 x 107 x 11 x 3 = 55506811536

Therefore, the lowest common multiple of 982,464,107,759,414 is 55506811536.

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.

982 x 464 x 107 x 759 x 414 = 15319879983936

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.

982 : 1, 2, 491, 982

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

107 : 1, 107

759 : 1, 3, 11, 23, 33, 69, 253, 759

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,464,107,759,414, is 1.

Now, the common factors can be found like this.

982:2x 491

464:2x 2x 2x 2x 29

107:107

759:3x 11x 23

414:2x 3x 3x 23

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 15319879983936/(1x276)

LCM = 15319879983936/276

LCM = 55506811536

Thus, we can understand that the LCM of 982,464,107,759,414 is 55506811536.

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

• LCM of 496, 576, 732, 815, 739
• LCM of 950, 503, 654, 569, 788
• LCM of 322, 358, 659, 475, 570
• LCM of 940, 749, 435, 657, 422
• LCM of 153, 777, 289, 855, 654

1. What is the LCM of 982, 464, 107, 759, 414?

Answer: LCM of 982, 464, 107, 759, 414 is 55506811536.

2. How to calculate the LCM of 982, 464, 107, 759, 414?

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 982, 464, 107, 759, 414.

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}.