Given numbers are 349,459,357,816

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

The LCM of 349,459,357,816 is 17941392.

Find LCM of 349,459,357,816 with Prime Factorization

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

3 x 17 x 349 x 9 x 7 x 16 = 17941392

Therefore, the lowest common multiple of 349,459,357,816 is 17941392.

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.

349 x 459 x 357 x 816 = 46665560592

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.

349 : 1, 349

459 : 1, 3, 9, 17, 27, 51, 153, 459

357 : 1, 3, 7, 17, 21, 51, 119, 357

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,459,357,816, is 1.

Now, the common factors can be found like this.

349:349

459:3x 3x 3x 17

357:3x 7x 17

816:2x 2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 17x 17 = 2601

Therefore, the value for common factors is 2601.

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 = 46665560592/(1x2601)

LCM = 46665560592/2601

LCM = 17941392

Thus, we can understand that the LCM of 349,459,357,816 is 17941392.

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

• LCM of 343, 910, 969, 630
• LCM of 380, 779, 963, 424
• LCM of 874, 816, 363, 591
• LCM of 470, 398, 617, 292
• LCM of 895, 372, 372, 476

1. What is the LCM of 349, 459, 357, 816?

Answer: LCM of 349, 459, 357, 816 is 17941392.

2. How to calculate the LCM of 349, 459, 357, 816?

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 349, 459, 357, 816.

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}.