Given numbers are 367,381,502,214,547

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

The LCM of 367,381,502,214,547 is 4108335110466.

Find LCM of 367,381,502,214,547 with Prime Factorization

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

2 x 367 x 381 x 251 x 107 x 547 = 4108335110466

Therefore, the lowest common multiple of 367,381,502,214,547 is 4108335110466.

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.

367 x 381 x 502 x 214 x 547 = 8216670220932

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.

367 : 1, 367

381 : 1, 3, 127, 381

502 : 1, 2, 251, 502

214 : 1, 2, 107, 214

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,381,502,214,547, is 1.

Now, the common factors can be found like this.

367:367

381:3x 127

502:2x 251

214:2x 107

547:547

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

2 = 2

Therefore, the value for common factors is 2.

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 = 8216670220932/(1x2)

LCM = 8216670220932/2

LCM = 4108335110466

Thus, we can understand that the LCM of 367,381,502,214,547 is 4108335110466.

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

• LCM of 347, 840, 647, 223, 301
• LCM of 654, 995, 871, 461, 133
• LCM of 324, 977, 734, 344, 220
• LCM of 164, 285, 971, 570, 861
• LCM of 196, 201, 340, 943, 732

1. What is the LCM of 367, 381, 502, 214, 547?

Answer: LCM of 367, 381, 502, 214, 547 is 4108335110466.

2. How to calculate the LCM of 367, 381, 502, 214, 547?

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 367, 381, 502, 214, 547.

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}.