Given numbers are 257,710,213,447

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

The LCM of 257,710,213,447 is 81564090.

Find LCM of 257,710,213,447 with Prime Factorization

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

3 x 71 x 257 x 10 x 1 x 149 = 81564090

Therefore, the lowest common multiple of 257,710,213,447 is 81564090.

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.

257 x 710 x 213 x 447 = 17373151170

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.

257 : 1, 257

710 : 1, 2, 5, 10, 71, 142, 355, 710

213 : 1, 3, 71, 213

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,710,213,447, is 1.

Now, the common factors can be found like this.

257:257

710:2x 5x 71

213:3x 71

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 71 = 213

Therefore, the value for common factors is 213.

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 = 17373151170/(1x213)

LCM = 17373151170/213

LCM = 81564090

Thus, we can understand that the LCM of 257,710,213,447 is 81564090.

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

• LCM of 173, 835, 924, 174
• LCM of 731, 786, 140, 858
• LCM of 381, 910, 526, 478
• LCM of 548, 492, 760, 253
• LCM of 718, 798, 106, 738

1. What is the LCM of 257, 710, 213, 447?

Answer: LCM of 257, 710, 213, 447 is 81564090.

2. How to calculate the LCM of 257, 710, 213, 447?

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 257, 710, 213, 447.

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}.