Given numbers are 300,290,168,237,708

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

The LCM of 300,290,168,237,708 is 567709800.

Find LCM of 300,290,168,237,708 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 29 x 14 x 79 x 59 = 567709800

Therefore, the lowest common multiple of 300,290,168,237,708 is 567709800.

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.

300 x 290 x 168 x 237 x 708 = 2452506336000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

290 : 1, 2, 5, 10, 29, 58, 145, 290

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

237 : 1, 3, 79, 237

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,290,168,237,708, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

290:2x 5x 29

168:2x 2x 2x 3x 7

237:3x 79

708:2x 2x 3x 59

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 2x 2x 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 2452506336000/(1x4320)

LCM = 2452506336000/4320

LCM = 567709800

Thus, we can understand that the LCM of 300,290,168,237,708 is 567709800.

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

• LCM of 420, 562, 940, 202, 874
• LCM of 761, 189, 760, 290, 545
• LCM of 223, 770, 684, 799, 756
• LCM of 152, 810, 749, 468, 824
• LCM of 551, 273, 387, 319, 102

1. What is the LCM of 300, 290, 168, 237, 708?

Answer: LCM of 300, 290, 168, 237, 708 is 567709800.

2. How to calculate the LCM of 300, 290, 168, 237, 708?

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 300, 290, 168, 237, 708.

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}.