Given numbers are 821,724,188,214

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

The LCM of 821,724,188,214 is 2989257716.

Find LCM of 821,724,188,214 with Prime Factorization

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

2 x 2 x 821 x 181 x 47 x 107 = 2989257716

Therefore, the lowest common multiple of 821,724,188,214 is 2989257716.

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 724 x 188 x 214 = 23914061728

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

724 : 1, 2, 4, 181, 362, 724

188 : 1, 2, 4, 47, 94, 188

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,724,188,214, is 1.

Now, the common factors can be found like this.

821:821

724:2x 2x 181

188:2x 2x 47

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 = 23914061728/(1x8)

LCM = 23914061728/8

LCM = 2989257716

Thus, we can understand that the LCM of 821,724,188,214 is 2989257716.

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

• LCM of 281, 159, 410, 981
• LCM of 103, 416, 990, 508
• LCM of 909, 607, 947, 416
• LCM of 686, 655, 607, 258
• LCM of 587, 721, 705, 470

1. What is the LCM of 821, 724, 188, 214?

Answer: LCM of 821, 724, 188, 214 is 2989257716.

2. How to calculate the LCM of 821, 724, 188, 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 821, 724, 188, 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}.