Given numbers are 300,889,334,652,624

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

The LCM of 300,889,334,652,624 is 377511716400.

Find LCM of 300,889,334,652,624 with Prime Factorization

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

2 x 2 x 3 x 25 x 889 x 167 x 163 x 52 = 377511716400

Therefore, the lowest common multiple of 300,889,334,652,624 is 377511716400.

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 889 x 334 x 652 x 624 = 36241124774400

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

889 : 1, 7, 127, 889

334 : 1, 2, 167, 334

652 : 1, 2, 4, 163, 326, 652

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,889,334,652,624, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

889:7x 127

334:2x 167

652:2x 2x 163

624:2x 2x 2x 2x 3x 13

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 3 = 96

Therefore, the value for common factors is 96.

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 = 36241124774400/(1x96)

LCM = 36241124774400/96

LCM = 377511716400

Thus, we can understand that the LCM of 300,889,334,652,624 is 377511716400.

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

• LCM of 911, 122, 392, 183, 806
• LCM of 792, 790, 700, 248, 204
• LCM of 750, 148, 442, 962, 629
• LCM of 142, 603, 746, 258, 266
• LCM of 258, 354, 724, 709, 671

1. What is the LCM of 300, 889, 334, 652, 624?

Answer: LCM of 300, 889, 334, 652, 624 is 377511716400.

2. How to calculate the LCM of 300, 889, 334, 652, 624?

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, 889, 334, 652, 624.

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}.