Given numbers are 368,118,354,414

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

The LCM of 368,118,354,414 is 195408.

Find LCM of 368,118,354,414 with Prime Factorization

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

2 x 3 x 23 x 59 x 8 x 1 x 1 x 3 = 195408

Therefore, the lowest common multiple of 368,118,354,414 is 195408.

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.

368 x 118 x 354 x 414 = 6364047744

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

118 : 1, 2, 59, 118

354 : 1, 2, 3, 6, 59, 118, 177, 354

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,118,354,414, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

118:2x 59

354:2x 3x 59

414:2x 3x 3x 23

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 3x 23x 59 = 16284

Therefore, the value for common factors is 16284.

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 = 6364047744/(2x16284)

LCM = 6364047744/32568

LCM = 195408

Thus, we can understand that the LCM of 368,118,354,414 is 195408.

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

• LCM of 983, 852, 961, 158
• LCM of 978, 891, 183, 814
• LCM of 867, 835, 930, 259
• LCM of 616, 577, 878, 693
• LCM of 783, 245, 718, 902

1. What is the LCM of 368, 118, 354, 414?

Answer: LCM of 368, 118, 354, 414 is 195408.

2. How to calculate the LCM of 368, 118, 354, 414?

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 368, 118, 354, 414.

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}.