Given numbers are 916,295,632,214

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

The LCM of 916,295,632,214 is 4568339320.

Find LCM of 916,295,632,214 with Prime Factorization

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

2 x 2 x 229 x 295 x 158 x 107 = 4568339320

Therefore, the lowest common multiple of 916,295,632,214 is 4568339320.

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.

916 x 295 x 632 x 214 = 36546714560

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.

916 : 1, 2, 4, 229, 458, 916

295 : 1, 5, 59, 295

632 : 1, 2, 4, 8, 79, 158, 316, 632

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,295,632,214, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

295:5x 59

632:2x 2x 2x 79

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 36546714560/(1x8)

LCM = 36546714560/8

LCM = 4568339320

Thus, we can understand that the LCM of 916,295,632,214 is 4568339320.

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

• LCM of 384, 353, 162, 231
• LCM of 543, 365, 688, 650
• LCM of 528, 998, 247, 343
• LCM of 188, 753, 853, 716
• LCM of 976, 660, 137, 953

1. What is the LCM of 916, 295, 632, 214?

Answer: LCM of 916, 295, 632, 214 is 4568339320.

2. How to calculate the LCM of 916, 295, 632, 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 916, 295, 632, 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}.