Given numbers are 743,54,189

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

The LCM of 743,54,189 is 280854.

Find LCM of 743,54,189 with Prime Factorization

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

3 x 3 x 3 x 743 x 2 x 7 = 280854

Therefore, the lowest common multiple of 743,54,189 is 280854.

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.

743 x 54 x 189 = 7583058

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.

743 : 1, 743

54 : 1, 2, 3, 6, 9, 18, 27, 54

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,54,189, is 1.

Now, the common factors can be found like this.

743:743

54:2x 3x 3x 3

189:3x 3x 3x 7

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 7583058/(1x27)

LCM = 7583058/27

LCM = 280854

Thus, we can understand that the LCM of 743,54,189 is 280854.

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

• LCM of 851, 75, 414
• LCM of 867, 65, 526
• LCM of 167, 65, 920
• LCM of 835, 70, 359
• LCM of 542, 72, 901

1. What is the LCM of 743, 54, 189?

Answer: LCM of 743, 54, 189 is 280854.

2. How to calculate the LCM of 743, 54, 189?

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 743, 54, 189.

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}.