Given numbers are 345,835,343,406

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

The LCM of 345,835,343,406 is 1146192810.

Find LCM of 345,835,343,406 with Prime Factorization

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

5 x 7 x 69 x 167 x 49 x 58 = 1146192810

Therefore, the lowest common multiple of 345,835,343,406 is 1146192810.

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.

345 x 835 x 343 x 406 = 40116748350

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

835 : 1, 5, 167, 835

343 : 1, 7, 49, 343

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 345,835,343,406, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

835:5x 167

343:7x 7x 7

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.

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 40116748350/(1x35)

LCM = 40116748350/35

LCM = 1146192810

Thus, we can understand that the LCM of 345,835,343,406 is 1146192810.

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

• LCM of 698, 478, 216, 769
• LCM of 501, 568, 341, 650
• LCM of 314, 576, 334, 314
• LCM of 259, 980, 920, 697
• LCM of 918, 681, 653, 494

1. What is the LCM of 345, 835, 343, 406?

Answer: LCM of 345, 835, 343, 406 is 1146192810.

2. How to calculate the LCM of 345, 835, 343, 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 345, 835, 343, 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}.