Given numbers are 821,678,509,313,634

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

The LCM of 821,678,509,313,634 is 28112161109982.

Find LCM of 821,678,509,313,634 with Prime Factorization

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

2 x 821 x 339 x 509 x 313 x 317 = 28112161109982

Therefore, the lowest common multiple of 821,678,509,313,634 is 28112161109982.

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.

821 x 678 x 509 x 313 x 634 = 56224322219964

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.

821 : 1, 821

678 : 1, 2, 3, 6, 113, 226, 339, 678

509 : 1, 509

313 : 1, 313

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,678,509,313,634, is 1.

Now, the common factors can be found like this.

821:821

678:2x 3x 113

509:509

313:313

634:2x 317

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

2 = 2

Therefore, the value for common factors is 2.

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 = 56224322219964/(1x2)

LCM = 56224322219964/2

LCM = 28112161109982

Thus, we can understand that the LCM of 821,678,509,313,634 is 28112161109982.

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

• LCM of 627, 945, 310, 360, 388
• LCM of 961, 224, 865, 608, 195
• LCM of 110, 762, 172, 494, 762
• LCM of 156, 881, 729, 180, 155
• LCM of 893, 956, 856, 363, 502

1. What is the LCM of 821, 678, 509, 313, 634?

Answer: LCM of 821, 678, 509, 313, 634 is 28112161109982.

2. How to calculate the LCM of 821, 678, 509, 313, 634?

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 821, 678, 509, 313, 634.

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}.