Given numbers are 290,470,340,695,350

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

The LCM of 290,470,340,695,350 is 2254538300.

Find LCM of 290,470,340,695,350 with Prime Factorization

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

2 x 5 x 29 x 47 x 34 x 139 x 35 = 2254538300

Therefore, the lowest common multiple of 290,470,340,695,350 is 2254538300.

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.

290 x 470 x 340 x 695 x 350 = 11272691500000

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.

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

695 : 1, 5, 139, 695

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,470,340,695,350, is 5.

Now, the common factors can be found like this.

290:2x 5x 29

470:2x 5x 47

340:2x 2x 5x 17

695:5x 139

350:2x 5x 5x 7

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 2x 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 11272691500000/(5x1000)

LCM = 11272691500000/5000

LCM = 2254538300

Thus, we can understand that the LCM of 290,470,340,695,350 is 2254538300.

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

• LCM of 846, 582, 759, 852, 460
• LCM of 582, 422, 768, 782, 618
• LCM of 668, 449, 622, 129, 241
• LCM of 886, 730, 768, 141, 818
• LCM of 255, 985, 857, 279, 301

1. What is the LCM of 290, 470, 340, 695, 350?

Answer: LCM of 290, 470, 340, 695, 350 is 2254538300.

2. How to calculate the LCM of 290, 470, 340, 695, 350?

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 290, 470, 340, 695, 350.

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}.