Given numbers are 514,112,422

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

The LCM of 514,112,422 is 6073424.

Find LCM of 514,112,422 with Prime Factorization

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

2 x 257 x 56 x 211 = 6073424

Therefore, the lowest common multiple of 514,112,422 is 6073424.

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.

514 x 112 x 422 = 24293696

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.

514 : 1, 2, 257, 514

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,112,422, is 2.

Now, the common factors can be found like this.

514:2x 257

112:2x 2x 2x 2x 7

422:2x 211

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 = 24293696/(2x2)

LCM = 24293696/4

LCM = 6073424

Thus, we can understand that the LCM of 514,112,422 is 6073424.

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

• LCM of 845, 265, 147
• LCM of 783, 793, 765
• LCM of 859, 972, 816
• LCM of 310, 644, 566
• LCM of 956, 314, 148

1. What is the LCM of 514, 112, 422?

Answer: LCM of 514, 112, 422 is 6073424.

2. How to calculate the LCM of 514, 112, 422?

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 514, 112, 422.

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}.