Given numbers are 492,814,941

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

The LCM of 492,814,941 is 188429604.

Find LCM of 492,814,941 with Prime Factorization

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

2 x 246 x 407 x 941 = 188429604

Therefore, the lowest common multiple of 492,814,941 is 188429604.

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.

492 x 814 x 941 = 376859208

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.

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

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

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,814,941, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

814:2x 11x 37

941:941

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 = 376859208/(1x2)

LCM = 376859208/2

LCM = 188429604

Thus, we can understand that the LCM of 492,814,941 is 188429604.

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

• LCM of 626, 715, 773
• LCM of 682, 112, 281
• LCM of 127, 227, 245
• LCM of 880, 291, 667
• LCM of 886, 948, 785

1. What is the LCM of 492, 814, 941?

Answer: LCM of 492, 814, 941 is 188429604.

2. How to calculate the LCM of 492, 814, 941?

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 492, 814, 941.

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}.