Given numbers are 272,241,842,214

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

The LCM of 272,241,842,214 is 2952920944.

Find LCM of 272,241,842,214 with Prime Factorization

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

2 x 136 x 241 x 421 x 107 = 2952920944

Therefore, the lowest common multiple of 272,241,842,214 is 2952920944.

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.

272 x 241 x 842 x 214 = 11811683776

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

241 : 1, 241

842 : 1, 2, 421, 842

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,241,842,214, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

241:241

842:2x 421

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 = 11811683776/(1x4)

LCM = 11811683776/4

LCM = 2952920944

Thus, we can understand that the LCM of 272,241,842,214 is 2952920944.

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

• LCM of 387, 189, 984, 928
• LCM of 958, 545, 225, 430
• LCM of 677, 187, 855, 433
• LCM of 325, 466, 336, 658
• LCM of 944, 733, 228, 540

1. What is the LCM of 272, 241, 842, 214?

Answer: LCM of 272, 241, 842, 214 is 2952920944.

2. How to calculate the LCM of 272, 241, 842, 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 272, 241, 842, 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}.