Given numbers are 780,958,968,489,398

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

The LCM of 780,958,968,489,398 is 2932825089480.

Find LCM of 780,958,968,489,398 with Prime Factorization

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

2 x 2 x 3 x 65 x 479 x 242 x 163 x 199 = 2932825089480

Therefore, the lowest common multiple of 780,958,968,489,398 is 2932825089480.

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.

780 x 958 x 968 x 489 x 398 = 140775604295040

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

958 : 1, 2, 479, 958

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

489 : 1, 3, 163, 489

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,958,968,489,398, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

958:2x 479

968:2x 2x 2x 11x 11

489:3x 163

398:2x 199

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 3 = 48

Therefore, the value for common factors is 48.

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 = 140775604295040/(1x48)

LCM = 140775604295040/48

LCM = 2932825089480

Thus, we can understand that the LCM of 780,958,968,489,398 is 2932825089480.

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

• LCM of 294, 312, 889, 618, 236
• LCM of 173, 408, 800, 478, 715
• LCM of 509, 234, 235, 111, 390
• LCM of 182, 853, 935, 962, 885
• LCM of 368, 390, 686, 677, 196

1. What is the LCM of 780, 958, 968, 489, 398?

Answer: LCM of 780, 958, 968, 489, 398 is 2932825089480.

2. How to calculate the LCM of 780, 958, 968, 489, 398?

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 780, 958, 968, 489, 398.

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}.