Given numbers are 277,257,404,312

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

The LCM of 277,257,404,312 is 2243307768.

Find LCM of 277,257,404,312 with Prime Factorization

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

2 x 2 x 277 x 257 x 101 x 78 = 2243307768

Therefore, the lowest common multiple of 277,257,404,312 is 2243307768.

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.

277 x 257 x 404 x 312 = 8973231072

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.

277 : 1, 277

257 : 1, 257

404 : 1, 2, 4, 101, 202, 404

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,257,404,312, is 1.

Now, the common factors can be found like this.

277:277

257:257

404:2x 2x 101

312:2x 2x 2x 3x 13

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 = 8973231072/(1x4)

LCM = 8973231072/4

LCM = 2243307768

Thus, we can understand that the LCM of 277,257,404,312 is 2243307768.

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

• LCM of 907, 530, 868, 860
• LCM of 855, 443, 521, 762
• LCM of 372, 648, 720, 991
• LCM of 704, 586, 369, 805
• LCM of 130, 348, 646, 735

1. What is the LCM of 277, 257, 404, 312?

Answer: LCM of 277, 257, 404, 312 is 2243307768.

2. How to calculate the LCM of 277, 257, 404, 312?

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 277, 257, 404, 312.

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}.