Given numbers are 342,137,290,493

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

The LCM of 342,137,290,493 is 115495110.

Find LCM of 342,137,290,493 with Prime Factorization

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

2 x 29 x 171 x 137 x 5 x 17 = 115495110

Therefore, the lowest common multiple of 342,137,290,493 is 115495110.

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.

342 x 137 x 290 x 493 = 6698716380

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

137 : 1, 137

290 : 1, 2, 5, 10, 29, 58, 145, 290

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,137,290,493, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

137:137

290:2x 5x 29

493:17x 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 29 = 58

Therefore, the value for common factors is 58.

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 = 6698716380/(1x58)

LCM = 6698716380/58

LCM = 115495110

Thus, we can understand that the LCM of 342,137,290,493 is 115495110.

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

• LCM of 635, 111, 233, 771
• LCM of 578, 617, 698, 672
• LCM of 204, 755, 493, 273
• LCM of 185, 740, 231, 706
• LCM of 725, 840, 659, 619

1. What is the LCM of 342, 137, 290, 493?

Answer: LCM of 342, 137, 290, 493 is 115495110.

2. How to calculate the LCM of 342, 137, 290, 493?

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 342, 137, 290, 493.

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}.