Given numbers are 544,272,217,431

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

The LCM of 544,272,217,431 is 50878688.

Find LCM of 544,272,217,431 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 1 x 2 x 217 x 431 = 50878688

Therefore, the lowest common multiple of 544,272,217,431 is 50878688.

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.

544 x 272 x 217 x 431 = 13839003136

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

217 : 1, 7, 31, 217

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,272,217,431, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

272:2x 2x 2x 2x 17

217:7x 31

431:431

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 13839003136/(1x272)

LCM = 13839003136/272

LCM = 50878688

Thus, we can understand that the LCM of 544,272,217,431 is 50878688.

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

• LCM of 617, 520, 969, 512
• LCM of 414, 731, 445, 343
• LCM of 306, 182, 470, 724
• LCM of 951, 851, 754, 950
• LCM of 943, 247, 672, 825

1. What is the LCM of 544, 272, 217, 431?

Answer: LCM of 544, 272, 217, 431 is 50878688.

2. How to calculate the LCM of 544, 272, 217, 431?

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 544, 272, 217, 431.

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}.