Given numbers are 459,326,328,743,418

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

The LCM of 459,326,328,743,418 is 3810739253112.

Find LCM of 459,326,328,743,418 with Prime Factorization

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

2 x 459 x 163 x 164 x 743 x 209 = 3810739253112

Therefore, the lowest common multiple of 459,326,328,743,418 is 3810739253112.

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.

459 x 326 x 328 x 743 x 418 = 15242957012448

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.

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

326 : 1, 2, 163, 326

328 : 1, 2, 4, 8, 41, 82, 164, 328

743 : 1, 743

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,326,328,743,418, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

326:2x 163

328:2x 2x 2x 41

743:743

418:2x 11x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15242957012448/(1x4)

LCM = 15242957012448/4

LCM = 3810739253112

Thus, we can understand that the LCM of 459,326,328,743,418 is 3810739253112.

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

• LCM of 634, 107, 960, 117, 165
• LCM of 467, 188, 893, 609, 632
• LCM of 473, 858, 824, 148, 111
• LCM of 544, 628, 512, 870, 544
• LCM of 300, 240, 274, 426, 624

1. What is the LCM of 459, 326, 328, 743, 418?

Answer: LCM of 459, 326, 328, 743, 418 is 3810739253112.

2. How to calculate the LCM of 459, 326, 328, 743, 418?

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 459, 326, 328, 743, 418.

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}.