Given numbers are 1089,6744

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

The LCM of 1089,6744 is 2448072.

Find LCM of 1089,6744 with Prime Factorization

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

3 x 363 x 2248 = 2448072

Therefore, the lowest common multiple of 1089,6744 is 2448072.

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.

1089 x 6744 = 7344216

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.

1089 : 1, 3, 9, 11, 33, 99, 121, 363, 1089

6744 : 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1089,6744, is 3.

Now, the common factors can be found like this.

1089:3x 3x 11x 11

6744:2x 2x 2x 3x 281

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

= 1

Therefore, the value for common factors is 1.

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 = 7344216/(3x1)

LCM = 7344216/3

LCM = 2448072

Thus, we can understand that the LCM of 1089,6744 is 2448072.

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

• LCM of 1958, 7973
• LCM of 3581, 8139
• LCM of 9716, 4516
• LCM of 7510, 5337
• LCM of 4256, 5684

1. What is the LCM of 1089, 6744?

Answer: LCM of 1089, 6744 is 2448072.

2. How to calculate the LCM of 1089, 6744?

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 1089, 6744.

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}.