Given numbers are 302,214,624

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

The LCM of 302,214,624 is 10081968.

Find LCM of 302,214,624 with Prime Factorization

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

2 x 151 x 107 x 312 = 10081968

Therefore, the lowest common multiple of 302,214,624 is 10081968.

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 214 x 624 = 40327872

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

214 : 1, 2, 107, 214

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,214,624, is 2.

Now, the common factors can be found like this.

302:2x 151

214:2x 107

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 40327872/(2x2)

LCM = 40327872/4

LCM = 10081968

Thus, we can understand that the LCM of 302,214,624 is 10081968.

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

• LCM of 925, 420, 975
• LCM of 399, 360, 106
• LCM of 524, 769, 244
• LCM of 703, 338, 393
• LCM of 324, 658, 901

1. What is the LCM of 302, 214, 624?

Answer: LCM of 302, 214, 624 is 10081968.

2. How to calculate the LCM of 302, 214, 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 302, 214, 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}.