Given numbers are 117,146,341,219,391

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

The LCM of 117,146,341,219,391 is 2277560142.

Find LCM of 117,146,341,219,391 with Prime Factorization

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

3 x 73 x 39 x 2 x 341 x 1 x 391 = 2277560142

Therefore, the lowest common multiple of 117,146,341,219,391 is 2277560142.

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.

117 x 146 x 341 x 219 x 391 = 498785671098

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.

117 : 1, 3, 9, 13, 39, 117

146 : 1, 2, 73, 146

341 : 1, 11, 31, 341

219 : 1, 3, 73, 219

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,146,341,219,391, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

146:2x 73

341:11x 31

219:3x 73

391:17x 23

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

3x 73 = 219

Therefore, the value for common factors is 219.

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 = 498785671098/(1x219)

LCM = 498785671098/219

LCM = 2277560142

Thus, we can understand that the LCM of 117,146,341,219,391 is 2277560142.

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

• LCM of 704, 935, 733, 842, 877
• LCM of 227, 613, 179, 991, 906
• LCM of 132, 151, 397, 491, 216
• LCM of 723, 599, 212, 597, 264
• LCM of 817, 313, 789, 463, 824

1. What is the LCM of 117, 146, 341, 219, 391?

Answer: LCM of 117, 146, 341, 219, 391 is 2277560142.

2. How to calculate the LCM of 117, 146, 341, 219, 391?

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 117, 146, 341, 219, 391.

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}.