Given numbers are 461,492,381,794

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

The LCM of 461,492,381,794 is 11435634228.

Find LCM of 461,492,381,794 with Prime Factorization

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

2 x 3 x 461 x 82 x 127 x 397 = 11435634228

Therefore, the lowest common multiple of 461,492,381,794 is 11435634228.

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 492 x 381 x 794 = 68613805368

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

381 : 1, 3, 127, 381

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,492,381,794, is 1.

Now, the common factors can be found like this.

461:461

492:2x 2x 3x 41

381:3x 127

794:2x 397

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 = 68613805368/(1x6)

LCM = 68613805368/6

LCM = 11435634228

Thus, we can understand that the LCM of 461,492,381,794 is 11435634228.

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

• LCM of 645, 993, 983, 760
• LCM of 498, 841, 496, 523
• LCM of 434, 355, 228, 390
• LCM of 997, 580, 598, 427
• LCM of 852, 549, 183, 554

1. What is the LCM of 461, 492, 381, 794?

Answer: LCM of 461, 492, 381, 794 is 11435634228.

2. How to calculate the LCM of 461, 492, 381, 794?

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, 492, 381, 794.

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}.