Given numbers are 300,502,314,121

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

The LCM of 300,502,314,121 is 1430474100.

Find LCM of 300,502,314,121 with Prime Factorization

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

2 x 150 x 251 x 157 x 121 = 1430474100

Therefore, the lowest common multiple of 300,502,314,121 is 1430474100.

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 502 x 314 x 121 = 5721896400

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

502 : 1, 2, 251, 502

314 : 1, 2, 157, 314

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,502,314,121, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

502:2x 251

314:2x 157

121:11x 11

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 = 5721896400/(1x4)

LCM = 5721896400/4

LCM = 1430474100

Thus, we can understand that the LCM of 300,502,314,121 is 1430474100.

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

• LCM of 821, 602, 697, 910
• LCM of 514, 640, 484, 108
• LCM of 511, 481, 825, 788
• LCM of 752, 286, 352, 850
• LCM of 518, 342, 249, 241

1. What is the LCM of 300, 502, 314, 121?

Answer: LCM of 300, 502, 314, 121 is 1430474100.

2. How to calculate the LCM of 300, 502, 314, 121?

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, 502, 314, 121.

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}.