Given numbers are 461,254,311,381

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

The LCM of 461,254,311,381 is 109248702.

Find LCM of 461,254,311,381 with Prime Factorization

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

127 x 461 x 2 x 311 x 3 = 109248702

Therefore, the lowest common multiple of 461,254,311,381 is 109248702.

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.

461 x 254 x 311 x 381 = 13874585154

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.

461 : 1, 461

254 : 1, 2, 127, 254

311 : 1, 311

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,254,311,381, is 1.

Now, the common factors can be found like this.

461:461

254:2x 127

311:311

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.

127 = 127

Therefore, the value for common factors is 127.

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 = 13874585154/(1x127)

LCM = 13874585154/127

LCM = 109248702

Thus, we can understand that the LCM of 461,254,311,381 is 109248702.

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

• LCM of 870, 734, 188, 743
• LCM of 782, 756, 409, 750
• LCM of 375, 612, 543, 166
• LCM of 265, 201, 579, 837
• LCM of 365, 197, 214, 468

1. What is the LCM of 461, 254, 311, 381?

Answer: LCM of 461, 254, 311, 381 is 109248702.

2. How to calculate the LCM of 461, 254, 311, 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 461, 254, 311, 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}.