Given numbers are 394,104,420

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

The LCM of 394,104,420 is 2151240.

Find LCM of 394,104,420 with Prime Factorization

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

2 x 2 x 197 x 26 x 105 = 2151240

Therefore, the lowest common multiple of 394,104,420 is 2151240.

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 104 x 420 = 17209920

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,104,420, is 2.

Now, the common factors can be found like this.

394:2x 197

104:2x 2x 2x 13

420:2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17209920/(2x4)

LCM = 17209920/8

LCM = 2151240

Thus, we can understand that the LCM of 394,104,420 is 2151240.

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

• LCM of 689, 705, 935
• LCM of 794, 846, 836
• LCM of 927, 356, 424
• LCM of 942, 598, 743
• LCM of 950, 623, 459

1. What is the LCM of 394, 104, 420?

Answer: LCM of 394, 104, 420 is 2151240.

2. How to calculate the LCM of 394, 104, 420?

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, 104, 420.

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}.