Given numbers are 495,336,323,357

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

The LCM of 495,336,323,357 is 17907120.

Find LCM of 495,336,323,357 with Prime Factorization

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

3 x 7 x 17 x 165 x 16 x 19 x 1 = 17907120

Therefore, the lowest common multiple of 495,336,323,357 is 17907120.

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.

495 x 336 x 323 x 357 = 19178525520

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

323 : 1, 17, 19, 323

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,336,323,357, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

336:2x 2x 2x 2x 3x 7

323:17x 19

357:3x 7x 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 7x 17 = 1071

Therefore, the value for common factors is 1071.

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 = 19178525520/(1x1071)

LCM = 19178525520/1071

LCM = 17907120

Thus, we can understand that the LCM of 495,336,323,357 is 17907120.

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

• LCM of 389, 326, 714, 869
• LCM of 823, 539, 896, 595
• LCM of 962, 471, 733, 933
• LCM of 858, 661, 488, 516
• LCM of 766, 531, 910, 329

1. What is the LCM of 495, 336, 323, 357?

Answer: LCM of 495, 336, 323, 357 is 17907120.

2. How to calculate the LCM of 495, 336, 323, 357?

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 495, 336, 323, 357.

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}.