Given numbers are 460,882,971,214

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

The LCM of 460,882,971,214 is 21076545420.

Find LCM of 460,882,971,214 with Prime Factorization

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

2 x 230 x 441 x 971 x 107 = 21076545420

Therefore, the lowest common multiple of 460,882,971,214 is 21076545420.

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.

460 x 882 x 971 x 214 = 84306181680

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

971 : 1, 971

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,882,971,214, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

882:2x 3x 3x 7x 7

971:971

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 84306181680/(1x4)

LCM = 84306181680/4

LCM = 21076545420

Thus, we can understand that the LCM of 460,882,971,214 is 21076545420.

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

• LCM of 163, 932, 287, 302
• LCM of 676, 502, 564, 447
• LCM of 864, 915, 923, 141
• LCM of 942, 463, 361, 774
• LCM of 807, 108, 577, 742

1. What is the LCM of 460, 882, 971, 214?

Answer: LCM of 460, 882, 971, 214 is 21076545420.

2. How to calculate the LCM of 460, 882, 971, 214?

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 460, 882, 971, 214.

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}.