Given numbers are 309,723,734

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

The LCM of 309,723,734 is 54660246.

Find LCM of 309,723,734 with Prime Factorization

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

3 x 103 x 241 x 734 = 54660246

Therefore, the lowest common multiple of 309,723,734 is 54660246.

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.

309 x 723 x 734 = 163980738

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.

309 : 1, 3, 103, 309

723 : 1, 3, 241, 723

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,723,734, is 1.

Now, the common factors can be found like this.

309:3x 103

723:3x 241

734:2x 367

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 = 163980738/(1x3)

LCM = 163980738/3

LCM = 54660246

Thus, we can understand that the LCM of 309,723,734 is 54660246.

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

• LCM of 413, 109, 673
• LCM of 135, 276, 693
• LCM of 638, 557, 968
• LCM of 579, 668, 362
• LCM of 626, 931, 471

1. What is the LCM of 309, 723, 734?

Answer: LCM of 309, 723, 734 is 54660246.

2. How to calculate the LCM of 309, 723, 734?

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 309, 723, 734.

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}.