Given numbers are 876,528,676,506

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

The LCM of 876,528,676,506 is 149820528.

Find LCM of 876,528,676,506 with Prime Factorization

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

2 x 2 x 3 x 11 x 73 x 4 x 169 x 23 = 149820528

Therefore, the lowest common multiple of 876,528,676,506 is 149820528.

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.

876 x 528 x 676 x 506 = 158210477568

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,528,676,506, is 2.

Now, the common factors can be found like this.

876:2x 2x 3x 73

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

676:2x 2x 13x 13

506:2x 11x 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 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 158210477568/(2x528)

LCM = 158210477568/1056

LCM = 149820528

Thus, we can understand that the LCM of 876,528,676,506 is 149820528.

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

• LCM of 803, 932, 780, 638
• LCM of 420, 806, 206, 644
• LCM of 599, 962, 561, 699
• LCM of 930, 721, 253, 843
• LCM of 291, 892, 258, 353

1. What is the LCM of 876, 528, 676, 506?

Answer: LCM of 876, 528, 676, 506 is 149820528.

2. How to calculate the LCM of 876, 528, 676, 506?

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 876, 528, 676, 506.

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}.