Given numbers are 235,414,312,449

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

The LCM of 235,414,312,449 is 2271526920.

Find LCM of 235,414,312,449 with Prime Factorization

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

2 x 3 x 235 x 69 x 52 x 449 = 2271526920

Therefore, the lowest common multiple of 235,414,312,449 is 2271526920.

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.

235 x 414 x 312 x 449 = 13629161520

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.

235 : 1, 5, 47, 235

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,414,312,449, is 1.

Now, the common factors can be found like this.

235:5x 47

414:2x 3x 3x 23

312:2x 2x 2x 3x 13

449:449

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 = 13629161520/(1x6)

LCM = 13629161520/6

LCM = 2271526920

Thus, we can understand that the LCM of 235,414,312,449 is 2271526920.

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

• LCM of 167, 480, 915, 882
• LCM of 273, 549, 438, 978
• LCM of 690, 476, 255, 630
• LCM of 340, 264, 635, 572
• LCM of 934, 284, 687, 575

1. What is the LCM of 235, 414, 312, 449?

Answer: LCM of 235, 414, 312, 449 is 2271526920.

2. How to calculate the LCM of 235, 414, 312, 449?

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 235, 414, 312, 449.

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}.