Given numbers are 781,57,814

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

The LCM of 781,57,814 is 3294258.

Find LCM of 781,57,814 with Prime Factorization

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

11 x 71 x 57 x 74 = 3294258

Therefore, the lowest common multiple of 781,57,814 is 3294258.

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.

781 x 57 x 814 = 36236838

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.

781 : 1, 11, 71, 781

57 : 1, 3, 19, 57

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 781,57,814, is 1.

Now, the common factors can be found like this.

781:11x 71

57:3x 19

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.

11 = 11

Therefore, the value for common factors is 11.

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 = 36236838/(1x11)

LCM = 36236838/11

LCM = 3294258

Thus, we can understand that the LCM of 781,57,814 is 3294258.

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

• LCM of 388, 29, 238
• LCM of 515, 71, 707
• LCM of 310, 35, 710
• LCM of 979, 79, 421
• LCM of 988, 99, 532

1. What is the LCM of 781, 57, 814?

Answer: LCM of 781, 57, 814 is 3294258.

2. How to calculate the LCM of 781, 57, 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 781, 57, 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}.