Given numbers are 364,344,381,188

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

The LCM of 364,344,381,188 is 560560728.

Find LCM of 364,344,381,188 with Prime Factorization

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

2 x 2 x 91 x 86 x 381 x 47 = 560560728

Therefore, the lowest common multiple of 364,344,381,188 is 560560728.

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.

364 x 344 x 381 x 188 = 8968971648

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

344 : 1, 2, 4, 8, 43, 86, 172, 344

381 : 1, 3, 127, 381

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,344,381,188, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

344:2x 2x 2x 43

381:3x 127

188:2x 2x 47

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 8968971648/(1x16)

LCM = 8968971648/16

LCM = 560560728

Thus, we can understand that the LCM of 364,344,381,188 is 560560728.

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

• LCM of 765, 752, 174, 517
• LCM of 528, 293, 178, 385
• LCM of 813, 870, 310, 866
• LCM of 889, 945, 132, 317
• LCM of 218, 494, 117, 871

1. What is the LCM of 364, 344, 381, 188?

Answer: LCM of 364, 344, 381, 188 is 560560728.

2. How to calculate the LCM of 364, 344, 381, 188?

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 364, 344, 381, 188.

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}.