Given numbers are 304,345,828,126,411

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

The LCM of 304,345,828,126,411 is 301739760.

Find LCM of 304,345,828,126,411 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 76 x 5 x 1 x 7 x 137 = 301739760

Therefore, the lowest common multiple of 304,345,828,126,411 is 301739760.

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.

304 x 345 x 828 x 126 x 411 = 4497129383040

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.

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,345,828,126,411, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

345:3x 5x 23

828:2x 2x 3x 3x 23

126:2x 3x 3x 7

411:3x 137

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

2x 2x 2x 3x 3x 3x 3x 23 = 14904

Therefore, the value for common factors is 14904.

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 = 4497129383040/(1x14904)

LCM = 4497129383040/14904

LCM = 301739760

Thus, we can understand that the LCM of 304,345,828,126,411 is 301739760.

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

• LCM of 285, 494, 245, 896, 509
• LCM of 128, 846, 329, 608, 651
• LCM of 774, 986, 988, 905, 342
• LCM of 383, 581, 912, 947, 248
• LCM of 978, 380, 684, 178, 304

1. What is the LCM of 304, 345, 828, 126, 411?

Answer: LCM of 304, 345, 828, 126, 411 is 301739760.

2. How to calculate the LCM of 304, 345, 828, 126, 411?

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 304, 345, 828, 126, 411.

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}.