Given numbers are 395,144,354

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

The LCM of 395,144,354 is 3355920.

Find LCM of 395,144,354 with Prime Factorization

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

2 x 3 x 395 x 24 x 59 = 3355920

Therefore, the lowest common multiple of 395,144,354 is 3355920.

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.

395 x 144 x 354 = 20135520

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.

395 : 1, 5, 79, 395

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,144,354, is 1.

Now, the common factors can be found like this.

395:5x 79

144:2x 2x 2x 2x 3x 3

354:2x 3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 20135520/(1x6)

LCM = 20135520/6

LCM = 3355920

Thus, we can understand that the LCM of 395,144,354 is 3355920.

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

• LCM of 730, 712, 574
• LCM of 335, 859, 506
• LCM of 462, 312, 118
• LCM of 364, 587, 379
• LCM of 579, 100, 441

1. What is the LCM of 395, 144, 354?

Answer: LCM of 395, 144, 354 is 3355920.

2. How to calculate the LCM of 395, 144, 354?

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 395, 144, 354.

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}.