Given numbers are 778,970,982,414

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

The LCM of 778,970,982,414 is 38350689210.

Find LCM of 778,970,982,414 with Prime Factorization

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

2 x 389 x 485 x 491 x 207 = 38350689210

Therefore, the lowest common multiple of 778,970,982,414 is 38350689210.

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.

778 x 970 x 982 x 414 = 306805513680

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.

778 : 1, 2, 389, 778

970 : 1, 2, 5, 10, 97, 194, 485, 970

982 : 1, 2, 491, 982

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,970,982,414, is 2.

Now, the common factors can be found like this.

778:2x 389

970:2x 5x 97

982:2x 491

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 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 = 306805513680/(2x4)

LCM = 306805513680/8

LCM = 38350689210

Thus, we can understand that the LCM of 778,970,982,414 is 38350689210.

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

• LCM of 205, 568, 230, 372
• LCM of 551, 556, 798, 362
• LCM of 914, 286, 144, 770
• LCM of 729, 692, 734, 465
• LCM of 952, 453, 539, 981

1. What is the LCM of 778, 970, 982, 414?

Answer: LCM of 778, 970, 982, 414 is 38350689210.

2. How to calculate the LCM of 778, 970, 982, 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 778, 970, 982, 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}.