Given numbers are 272,411,303,214

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

The LCM of 272,411,303,214 is 1208136144.

Find LCM of 272,411,303,214 with Prime Factorization

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

2 x 3 x 136 x 137 x 101 x 107 = 1208136144

Therefore, the lowest common multiple of 272,411,303,214 is 1208136144.

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 411 x 303 x 214 = 7248816864

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

411 : 1, 3, 137, 411

303 : 1, 3, 101, 303

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,411,303,214, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

411:3x 137

303:3x 101

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 3 = 6

Therefore, the value for common factors is 6.

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 = 7248816864/(1x6)

LCM = 7248816864/6

LCM = 1208136144

Thus, we can understand that the LCM of 272,411,303,214 is 1208136144.

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

• LCM of 399, 958, 331, 712
• LCM of 274, 370, 733, 895
• LCM of 521, 496, 198, 168
• LCM of 931, 400, 509, 173
• LCM of 169, 438, 151, 995

1. What is the LCM of 272, 411, 303, 214?

Answer: LCM of 272, 411, 303, 214 is 1208136144.

2. How to calculate the LCM of 272, 411, 303, 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, 411, 303, 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}.