Given numbers are 676,341,561,849,528

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

The LCM of 676,341,561,849,528 is 13308149712.

Find LCM of 676,341,561,849,528 with Prime Factorization

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

2 x 2 x 3 x 11 x 169 x 31 x 17 x 283 x 4 = 13308149712

Therefore, the lowest common multiple of 676,341,561,849,528 is 13308149712.

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.

676 x 341 x 561 x 849 x 528 = 57970300145472

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

341 : 1, 11, 31, 341

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

849 : 1, 3, 283, 849

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,341,561,849,528, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

341:11x 31

561:3x 11x 17

849:3x 283

528:2x 2x 2x 2x 3x 11

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 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 57970300145472/(1x4356)

LCM = 57970300145472/4356

LCM = 13308149712

Thus, we can understand that the LCM of 676,341,561,849,528 is 13308149712.

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

• LCM of 576, 284, 668, 241, 837
• LCM of 138, 945, 759, 984, 931
• LCM of 785, 499, 592, 613, 643
• LCM of 201, 870, 333, 491, 989
• LCM of 945, 757, 977, 399, 944

1. What is the LCM of 676, 341, 561, 849, 528?

Answer: LCM of 676, 341, 561, 849, 528 is 13308149712.

2. How to calculate the LCM of 676, 341, 561, 849, 528?

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 676, 341, 561, 849, 528.

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}.