Given numbers are 354,121,418,406

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

The LCM of 354,121,418,406 is 165210738.

Find LCM of 354,121,418,406 with Prime Factorization

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

2 x 11 x 177 x 11 x 19 x 203 = 165210738

Therefore, the lowest common multiple of 354,121,418,406 is 165210738.

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.

354 x 121 x 418 x 406 = 7269272472

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

121 : 1, 11, 121

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,121,418,406, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

121:11x 11

418:2x 11x 19

406:2x 7x 29

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 11 = 44

Therefore, the value for common factors is 44.

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 = 7269272472/(1x44)

LCM = 7269272472/44

LCM = 165210738

Thus, we can understand that the LCM of 354,121,418,406 is 165210738.

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

• LCM of 100, 841, 314, 330
• LCM of 462, 151, 453, 912
• LCM of 539, 970, 836, 252
• LCM of 971, 805, 486, 274
• LCM of 596, 265, 512, 160

1. What is the LCM of 354, 121, 418, 406?

Answer: LCM of 354, 121, 418, 406 is 165210738.

2. How to calculate the LCM of 354, 121, 418, 406?

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 354, 121, 418, 406.

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}.