Given numbers are 684,442,470

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

The LCM of 684,442,470 is 35523540.

Find LCM of 684,442,470 with Prime Factorization

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

2 x 342 x 221 x 235 = 35523540

Therefore, the lowest common multiple of 684,442,470 is 35523540.

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.

684 x 442 x 470 = 142094160

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

442 : 1, 2, 13, 17, 26, 34, 221, 442

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,442,470, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

442:2x 13x 17

470:2x 5x 47

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 = 142094160/(2x2)

LCM = 142094160/4

LCM = 35523540

Thus, we can understand that the LCM of 684,442,470 is 35523540.

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

• LCM of 816, 240, 138
• LCM of 789, 327, 951
• LCM of 810, 131, 285
• LCM of 312, 368, 275
• LCM of 168, 955, 124

1. What is the LCM of 684, 442, 470?

Answer: LCM of 684, 442, 470 is 35523540.

2. How to calculate the LCM of 684, 442, 470?

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 684, 442, 470.

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}.