Given numbers are 302,192,740,420,850

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

The LCM of 302,192,740,420,850 is 3191294400.

Find LCM of 302,192,740,420,850 with Prime Factorization

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

2 x 2 x 3 x 5 x 151 x 16 x 37 x 7 x 85 = 3191294400

Therefore, the lowest common multiple of 302,192,740,420,850 is 3191294400.

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.

302 x 192 x 740 x 420 x 850 = 15318213120000

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.

302 : 1, 2, 151, 302

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,192,740,420,850, is 2.

Now, the common factors can be found like this.

302:2x 151

192:2x 2x 2x 2x 2x 2x 3

740:2x 2x 5x 37

420:2x 2x 3x 5x 7

850:2x 5x 5x 17

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 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 15318213120000/(2x2400)

LCM = 15318213120000/4800

LCM = 3191294400

Thus, we can understand that the LCM of 302,192,740,420,850 is 3191294400.

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

• LCM of 904, 489, 446, 402, 349
• LCM of 908, 620, 226, 820, 712
• LCM of 263, 442, 634, 930, 498
• LCM of 887, 142, 627, 862, 325
• LCM of 360, 650, 179, 267, 439

1. What is the LCM of 302, 192, 740, 420, 850?

Answer: LCM of 302, 192, 740, 420, 850 is 3191294400.

2. How to calculate the LCM of 302, 192, 740, 420, 850?

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 302, 192, 740, 420, 850.

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}.