Given numbers are 252,312,356,408,265

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

The LCM of 252,312,356,408,265 is 2626991640.

Find LCM of 252,312,356,408,265 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 13 x 89 x 17 x 265 = 2626991640

Therefore, the lowest common multiple of 252,312,356,408,265 is 2626991640.

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.

252 x 312 x 356 x 408 x 265 = 3026294369280

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

356 : 1, 2, 4, 89, 178, 356

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,312,356,408,265, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

312:2x 2x 2x 3x 13

356:2x 2x 89

408:2x 2x 2x 3x 17

265:5x 53

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 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 3026294369280/(1x1152)

LCM = 3026294369280/1152

LCM = 2626991640

Thus, we can understand that the LCM of 252,312,356,408,265 is 2626991640.

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

• LCM of 705, 500, 251, 123, 642
• LCM of 822, 984, 391, 341, 606
• LCM of 595, 152, 470, 323, 930
• LCM of 650, 891, 859, 728, 820
• LCM of 417, 978, 883, 721, 981

1. What is the LCM of 252, 312, 356, 408, 265?

Answer: LCM of 252, 312, 356, 408, 265 is 2626991640.

2. How to calculate the LCM of 252, 312, 356, 408, 265?

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 252, 312, 356, 408, 265.

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}.