Given numbers are 309,117,838

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

The LCM of 309,117,838 is 10098738.

Find LCM of 309,117,838 with Prime Factorization

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

3 x 103 x 39 x 838 = 10098738

Therefore, the lowest common multiple of 309,117,838 is 10098738.

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 117 x 838 = 30296214

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

117 : 1, 3, 9, 13, 39, 117

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,117,838, is 1.

Now, the common factors can be found like this.

309:3x 103

117:3x 3x 13

838:2x 419

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 = 30296214/(1x3)

LCM = 30296214/3

LCM = 10098738

Thus, we can understand that the LCM of 309,117,838 is 10098738.

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

• LCM of 718, 515, 858
• LCM of 426, 595, 387
• LCM of 825, 899, 668
• LCM of 373, 938, 284
• LCM of 984, 741, 402

1. What is the LCM of 309, 117, 838?

Answer: LCM of 309, 117, 838 is 10098738.

2. How to calculate the LCM of 309, 117, 838?

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, 117, 838.

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}.