Given numbers are 414,398,526,374,375

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

The LCM of 414,398,526,374,375 is 506478233250.

Find LCM of 414,398,526,374,375 with Prime Factorization

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

2 x 3 x 69 x 199 x 263 x 187 x 125 = 506478233250

Therefore, the lowest common multiple of 414,398,526,374,375 is 506478233250.

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.

414 x 398 x 526 x 374 x 375 = 12155477598000

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.

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

398 : 1, 2, 199, 398

526 : 1, 2, 263, 526

374 : 1, 2, 11, 17, 22, 34, 187, 374

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,398,526,374,375, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

398:2x 199

526:2x 263

374:2x 11x 17

375:3x 5x 5x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12155477598000/(1x24)

LCM = 12155477598000/24

LCM = 506478233250

Thus, we can understand that the LCM of 414,398,526,374,375 is 506478233250.

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

• LCM of 968, 212, 462, 179, 459
• LCM of 598, 623, 273, 805, 222
• LCM of 622, 836, 190, 786, 589
• LCM of 844, 962, 274, 400, 593
• LCM of 851, 780, 506, 890, 374

1. What is the LCM of 414, 398, 526, 374, 375?

Answer: LCM of 414, 398, 526, 374, 375 is 506478233250.

2. How to calculate the LCM of 414, 398, 526, 374, 375?

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 414, 398, 526, 374, 375.

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}.