Given numbers are 987,409,293,354,338

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

The LCM of 987,409,293,354,338 is 2358722191098.

Find LCM of 987,409,293,354,338 with Prime Factorization

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

2 x 3 x 329 x 409 x 293 x 59 x 169 = 2358722191098

Therefore, the lowest common multiple of 987,409,293,354,338 is 2358722191098.

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.

987 x 409 x 293 x 354 x 338 = 14152333146588

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

409 : 1, 409

293 : 1, 293

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

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,409,293,354,338, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

409:409

293:293

354:2x 3x 59

338:2x 13x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 14152333146588/(1x6)

LCM = 14152333146588/6

LCM = 2358722191098

Thus, we can understand that the LCM of 987,409,293,354,338 is 2358722191098.

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

• LCM of 996, 967, 429, 836, 708
• LCM of 190, 246, 306, 711, 963
• LCM of 651, 360, 971, 623, 329
• LCM of 214, 503, 675, 822, 104
• LCM of 172, 140, 293, 350, 178

1. What is the LCM of 987, 409, 293, 354, 338?

Answer: LCM of 987, 409, 293, 354, 338 is 2358722191098.

2. How to calculate the LCM of 987, 409, 293, 354, 338?

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 987, 409, 293, 354, 338.

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}.