Given numbers are 394,578,407

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

The LCM of 394,578,407 is 46343462.

Find LCM of 394,578,407 with Prime Factorization

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

2 x 197 x 289 x 407 = 46343462

Therefore, the lowest common multiple of 394,578,407 is 46343462.

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.

394 x 578 x 407 = 92686924

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.

394 : 1, 2, 197, 394

578 : 1, 2, 17, 34, 289, 578

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,578,407, is 1.

Now, the common factors can be found like this.

394:2x 197

578:2x 17x 17

407:11x 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 = 92686924/(1x2)

LCM = 92686924/2

LCM = 46343462

Thus, we can understand that the LCM of 394,578,407 is 46343462.

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

• LCM of 991, 138, 213
• LCM of 213, 840, 920
• LCM of 535, 834, 752
• LCM of 770, 794, 887
• LCM of 440, 980, 132

1. What is the LCM of 394, 578, 407?

Answer: LCM of 394, 578, 407 is 46343462.

2. How to calculate the LCM of 394, 578, 407?

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 394, 578, 407.

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}.