Given numbers are 825,379,561,908,957

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

The LCM of 825,379,561,908,957 is 139967087700.

Find LCM of 825,379,561,908,957 with Prime Factorization

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

3 x 11 x 25 x 379 x 17 x 908 x 29 = 139967087700

Therefore, the lowest common multiple of 825,379,561,908,957 is 139967087700.

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.

825 x 379 x 561 x 908 x 957 = 152424158505300

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

379 : 1, 379

561 : 1, 3, 11, 17, 33, 51, 187, 561

908 : 1, 2, 4, 227, 454, 908

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,379,561,908,957, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

379:379

561:3x 11x 17

908:2x 2x 227

957:3x 11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 152424158505300/(1x1089)

LCM = 152424158505300/1089

LCM = 139967087700

Thus, we can understand that the LCM of 825,379,561,908,957 is 139967087700.

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

• LCM of 145, 358, 434, 324, 194
• LCM of 609, 772, 663, 105, 942
• LCM of 646, 207, 808, 252, 246
• LCM of 304, 498, 802, 581, 353
• LCM of 457, 525, 294, 978, 140

1. What is the LCM of 825, 379, 561, 908, 957?

Answer: LCM of 825, 379, 561, 908, 957 is 139967087700.

2. How to calculate the LCM of 825, 379, 561, 908, 957?

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 825, 379, 561, 908, 957.

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}.