Given numbers are 354,940,304

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

The LCM of 354,940,304 is 12644880.

Find LCM of 354,940,304 with Prime Factorization

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

2 x 2 x 177 x 235 x 76 = 12644880

Therefore, the lowest common multiple of 354,940,304 is 12644880.

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.

354 x 940 x 304 = 101159040

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,940,304, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

940:2x 2x 5x 47

304:2x 2x 2x 2x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 101159040/(2x4)

LCM = 101159040/8

LCM = 12644880

Thus, we can understand that the LCM of 354,940,304 is 12644880.

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

• LCM of 215, 899, 214
• LCM of 333, 773, 819
• LCM of 838, 761, 817
• LCM of 872, 666, 902
• LCM of 758, 760, 253

1. What is the LCM of 354, 940, 304?

Answer: LCM of 354, 940, 304 is 12644880.

2. How to calculate the LCM of 354, 940, 304?

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 354, 940, 304.

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}.