Given numbers are 408,323,121,340,421

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

The LCM of 408,323,121,340,421 is 1974473160.

Find LCM of 408,323,121,340,421 with Prime Factorization

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

2 x 2 x 17 x 6 x 19 x 121 x 5 x 421 = 1974473160

Therefore, the lowest common multiple of 408,323,121,340,421 is 1974473160.

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.

408 x 323 x 121 x 340 x 421 = 2282490972960

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.

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

323 : 1, 17, 19, 323

121 : 1, 11, 121

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,323,121,340,421, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

323:17x 19

121:11x 11

340:2x 2x 5x 17

421:421

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 2282490972960/(1x1156)

LCM = 2282490972960/1156

LCM = 1974473160

Thus, we can understand that the LCM of 408,323,121,340,421 is 1974473160.

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

• LCM of 132, 777, 481, 530, 107
• LCM of 889, 939, 122, 811, 188
• LCM of 462, 841, 638, 114, 578
• LCM of 887, 162, 390, 396, 504
• LCM of 409, 763, 382, 976, 585

1. What is the LCM of 408, 323, 121, 340, 421?

Answer: LCM of 408, 323, 121, 340, 421 is 1974473160.

2. How to calculate the LCM of 408, 323, 121, 340, 421?

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 408, 323, 121, 340, 421.

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}.