Given numbers are 821,905,201,312

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

The LCM of 821,905,201,312 is 15531776520.

Find LCM of 821,905,201,312 with Prime Factorization

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

3 x 821 x 905 x 67 x 104 = 15531776520

Therefore, the lowest common multiple of 821,905,201,312 is 15531776520.

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 905 x 201 x 312 = 46595329560

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

905 : 1, 5, 181, 905

201 : 1, 3, 67, 201

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,905,201,312, is 1.

Now, the common factors can be found like this.

821:821

905:5x 181

201:3x 67

312:2x 2x 2x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 46595329560/(1x3)

LCM = 46595329560/3

LCM = 15531776520

Thus, we can understand that the LCM of 821,905,201,312 is 15531776520.

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

• LCM of 228, 900, 824, 705
• LCM of 348, 503, 982, 820
• LCM of 899, 282, 527, 696
• LCM of 617, 467, 154, 383
• LCM of 804, 253, 221, 615

1. What is the LCM of 821, 905, 201, 312?

Answer: LCM of 821, 905, 201, 312 is 15531776520.

2. How to calculate the LCM of 821, 905, 201, 312?

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, 905, 201, 312.

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}.