Given numbers are 214,995,217,428

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

The LCM of 214,995,217,428 is 92411620.

Find LCM of 214,995,217,428 with Prime Factorization

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

2 x 107 x 1 x 995 x 217 x 2 = 92411620

Therefore, the lowest common multiple of 214,995,217,428 is 92411620.

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.

214 x 995 x 217 x 428 = 19776086680

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.

214 : 1, 2, 107, 214

995 : 1, 5, 199, 995

217 : 1, 7, 31, 217

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,995,217,428, is 1.

Now, the common factors can be found like this.

214:2x 107

995:5x 199

217:7x 31

428:2x 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 107 = 214

Therefore, the value for common factors is 214.

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 = 19776086680/(1x214)

LCM = 19776086680/214

LCM = 92411620

Thus, we can understand that the LCM of 214,995,217,428 is 92411620.

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

• LCM of 766, 568, 749, 523
• LCM of 986, 228, 951, 346
• LCM of 234, 826, 125, 910
• LCM of 347, 188, 296, 146
• LCM of 913, 490, 103, 159

1. What is the LCM of 214, 995, 217, 428?

Answer: LCM of 214, 995, 217, 428 is 92411620.

2. How to calculate the LCM of 214, 995, 217, 428?

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 214, 995, 217, 428.

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}.