Given numbers are 290,434,614,341

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

The LCM of 290,434,614,341 is 212514610.

Find LCM of 290,434,614,341 with Prime Factorization

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

2 x 31 x 145 x 7 x 307 x 11 = 212514610

Therefore, the lowest common multiple of 290,434,614,341 is 212514610.

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 434 x 614 x 341 = 26351811640

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

434 : 1, 2, 7, 14, 31, 62, 217, 434

614 : 1, 2, 307, 614

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,434,614,341, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

434:2x 7x 31

614:2x 307

341:11x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 26351811640/(1x124)

LCM = 26351811640/124

LCM = 212514610

Thus, we can understand that the LCM of 290,434,614,341 is 212514610.

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

• LCM of 256, 172, 703, 315
• LCM of 894, 578, 685, 741
• LCM of 906, 288, 338, 481
• LCM of 709, 326, 641, 933
• LCM of 211, 528, 941, 427

1. What is the LCM of 290, 434, 614, 341?

Answer: LCM of 290, 434, 614, 341 is 212514610.

2. How to calculate the LCM of 290, 434, 614, 341?

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, 434, 614, 341.

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}.