Given numbers are 378,617,634,156,970

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

The LCM of 378,617,634,156,970 is 932290615620.

Find LCM of 378,617,634,156,970 with Prime Factorization

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

2 x 3 x 63 x 617 x 317 x 26 x 485 = 932290615620

Therefore, the lowest common multiple of 378,617,634,156,970 is 932290615620.

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.

378 x 617 x 634 x 156 x 970 = 22374974774880

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

617 : 1, 617

634 : 1, 2, 317, 634

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,617,634,156,970, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

617:617

634:2x 317

156:2x 2x 3x 13

970:2x 5x 97

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 3 = 24

Therefore, the value for common factors is 24.

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 = 22374974774880/(1x24)

LCM = 22374974774880/24

LCM = 932290615620

Thus, we can understand that the LCM of 378,617,634,156,970 is 932290615620.

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

• LCM of 290, 279, 602, 461, 449
• LCM of 998, 736, 879, 567, 202
• LCM of 403, 435, 167, 996, 593
• LCM of 367, 152, 151, 384, 809
• LCM of 601, 492, 339, 223, 625

1. What is the LCM of 378, 617, 634, 156, 970?

Answer: LCM of 378, 617, 634, 156, 970 is 932290615620.

2. How to calculate the LCM of 378, 617, 634, 156, 970?

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 378, 617, 634, 156, 970.

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}.