Given numbers are 489,84,743

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

The LCM of 489,84,743 is 10173156.

Find LCM of 489,84,743 with Prime Factorization

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

3 x 163 x 28 x 743 = 10173156

Therefore, the lowest common multiple of 489,84,743 is 10173156.

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.

489 x 84 x 743 = 30519468

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.

489 : 1, 3, 163, 489

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,84,743, is 1.

Now, the common factors can be found like this.

489:3x 163

84:2x 2x 3x 7

743:743

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

3 = 3

Therefore, the value for common factors is 3.

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 = 30519468/(1x3)

LCM = 30519468/3

LCM = 10173156

Thus, we can understand that the LCM of 489,84,743 is 10173156.

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

• LCM of 807, 77, 702
• LCM of 419, 22, 806
• LCM of 590, 23, 310
• LCM of 629, 91, 402
• LCM of 980, 96, 968

1. What is the LCM of 489, 84, 743?

Answer: LCM of 489, 84, 743 is 10173156.

2. How to calculate the LCM of 489, 84, 743?

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 489, 84, 743.

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}.