Given numbers are 323,491,202,400,746

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

The LCM of 323,491,202,400,746 is 2389869635600.

Find LCM of 323,491,202,400,746 with Prime Factorization

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

2 x 323 x 491 x 101 x 200 x 373 = 2389869635600

Therefore, the lowest common multiple of 323,491,202,400,746 is 2389869635600.

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.

323 x 491 x 202 x 400 x 746 = 9559478542400

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.

323 : 1, 17, 19, 323

491 : 1, 491

202 : 1, 2, 101, 202

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,491,202,400,746, is 1.

Now, the common factors can be found like this.

323:17x 19

491:491

202:2x 101

400:2x 2x 2x 2x 5x 5

746:2x 373

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 = 9559478542400/(1x4)

LCM = 9559478542400/4

LCM = 2389869635600

Thus, we can understand that the LCM of 323,491,202,400,746 is 2389869635600.

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

• LCM of 170, 653, 442, 868, 162
• LCM of 241, 125, 932, 795, 216
• LCM of 829, 211, 914, 241, 484
• LCM of 339, 697, 760, 224, 530
• LCM of 782, 480, 956, 967, 911

1. What is the LCM of 323, 491, 202, 400, 746?

Answer: LCM of 323, 491, 202, 400, 746 is 2389869635600.

2. How to calculate the LCM of 323, 491, 202, 400, 746?

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 323, 491, 202, 400, 746.

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}.