Given numbers are 814,518,349,374,268

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

The LCM of 814,518,349,374,268 is 4530035356.

Find LCM of 814,518,349,374,268 with Prime Factorization

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

2 x 11 x 37 x 1 x 7 x 349 x 17 x 134 = 4530035356

Therefore, the lowest common multiple of 814,518,349,374,268 is 4530035356.

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.

814 x 518 x 349 x 374 x 268 = 14749795119136

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

518 : 1, 2, 7, 14, 37, 74, 259, 518

349 : 1, 349

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,518,349,374,268, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

518:2x 7x 37

349:349

374:2x 11x 17

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 11x 37 = 3256

Therefore, the value for common factors is 3256.

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 = 14749795119136/(1x3256)

LCM = 14749795119136/3256

LCM = 4530035356

Thus, we can understand that the LCM of 814,518,349,374,268 is 4530035356.

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

• LCM of 759, 600, 835, 268, 792
• LCM of 175, 384, 880, 106, 719
• LCM of 357, 265, 781, 149, 767
• LCM of 995, 863, 687, 782, 443
• LCM of 268, 971, 843, 415, 184

1. What is the LCM of 814, 518, 349, 374, 268?

Answer: LCM of 814, 518, 349, 374, 268 is 4530035356.

2. How to calculate the LCM of 814, 518, 349, 374, 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 814, 518, 349, 374, 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}.