Given numbers are 740,340,250,414,268

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

The LCM of 740,340,250,414,268 is 4361800500.

Find LCM of 740,340,250,414,268 with Prime Factorization

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

2 x 2 x 5 x 37 x 17 x 25 x 207 x 67 = 4361800500

Therefore, the lowest common multiple of 740,340,250,414,268 is 4361800500.

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.

740 x 340 x 250 x 414 x 268 = 6978880800000

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

250 : 1, 2, 5, 10, 25, 50, 125, 250

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

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,340,250,414,268, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

340:2x 2x 5x 17

250:2x 5x 5x 5

414:2x 3x 3x 23

268:2x 2x 67

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 6978880800000/(2x800)

LCM = 6978880800000/1600

LCM = 4361800500

Thus, we can understand that the LCM of 740,340,250,414,268 is 4361800500.

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

• LCM of 497, 121, 192, 811, 863
• LCM of 505, 785, 887, 859, 253
• LCM of 496, 341, 694, 151, 399
• LCM of 314, 808, 725, 877, 370
• LCM of 485, 952, 160, 766, 218

1. What is the LCM of 740, 340, 250, 414, 268?

Answer: LCM of 740, 340, 250, 414, 268 is 4361800500.

2. How to calculate the LCM of 740, 340, 250, 414, 268?

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 740, 340, 250, 414, 268.

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}.