Given numbers are 821,275,319,924

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

The LCM of 821,275,319,924 is 549987900.

Find LCM of 821,275,319,924 with Prime Factorization

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

11 x 821 x 25 x 29 x 84 = 549987900

Therefore, the lowest common multiple of 821,275,319,924 is 549987900.

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 275 x 319 x 924 = 66548535900

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

275 : 1, 5, 11, 25, 55, 275

319 : 1, 11, 29, 319

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,275,319,924, is 1.

Now, the common factors can be found like this.

821:821

275:5x 5x 11

319:11x 29

924:2x 2x 3x 7x 11

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 66548535900/(1x121)

LCM = 66548535900/121

LCM = 549987900

Thus, we can understand that the LCM of 821,275,319,924 is 549987900.

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

• LCM of 432, 511, 652, 147
• LCM of 356, 150, 799, 789
• LCM of 251, 951, 414, 857
• LCM of 710, 116, 965, 453
• LCM of 332, 731, 322, 433

1. What is the LCM of 821, 275, 319, 924?

Answer: LCM of 821, 275, 319, 924 is 549987900.

2. How to calculate the LCM of 821, 275, 319, 924?

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, 275, 319, 924.

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}.