Given numbers are 461,78,814

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

The LCM of 461,78,814 is 14634906.

Find LCM of 461,78,814 with Prime Factorization

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

2 x 461 x 39 x 407 = 14634906

Therefore, the lowest common multiple of 461,78,814 is 14634906.

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 78 x 814 = 29269812

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

78 : 1, 2, 3, 6, 13, 26, 39, 78

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,78,814, is 1.

Now, the common factors can be found like this.

461:461

78:2x 3x 13

814:2x 11x 37

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 = 29269812/(1x2)

LCM = 29269812/2

LCM = 14634906

Thus, we can understand that the LCM of 461,78,814 is 14634906.

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

• LCM of 194, 42, 567
• LCM of 327, 25, 640
• LCM of 974, 47, 427
• LCM of 732, 16, 334
• LCM of 153, 88, 160

1. What is the LCM of 461, 78, 814?

Answer: LCM of 461, 78, 814 is 14634906.

2. How to calculate the LCM of 461, 78, 814?

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, 78, 814.

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}.