Given numbers are 349,828,975,395,381

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

The LCM of 349,828,975,395,381 is 942258224700.

Find LCM of 349,828,975,395,381 with Prime Factorization

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

3 x 5 x 349 x 276 x 65 x 79 x 127 = 942258224700

Therefore, the lowest common multiple of 349,828,975,395,381 is 942258224700.

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.

349 x 828 x 975 x 395 x 381 = 42401620111500

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.

349 : 1, 349

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

395 : 1, 5, 79, 395

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,828,975,395,381, is 1.

Now, the common factors can be found like this.

349:349

828:2x 2x 3x 3x 23

975:3x 5x 5x 13

395:5x 79

381:3x 127

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 42401620111500/(1x45)

LCM = 42401620111500/45

LCM = 942258224700

Thus, we can understand that the LCM of 349,828,975,395,381 is 942258224700.

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

• LCM of 646, 567, 877, 864, 401
• LCM of 281, 555, 942, 740, 627
• LCM of 456, 902, 387, 294, 204
• LCM of 356, 198, 688, 955, 309
• LCM of 393, 408, 464, 479, 861

1. What is the LCM of 349, 828, 975, 395, 381?

Answer: LCM of 349, 828, 975, 395, 381 is 942258224700.

2. How to calculate the LCM of 349, 828, 975, 395, 381?

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 349, 828, 975, 395, 381.

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}.