Given numbers are 302,409,312,213

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

The LCM of 302,409,312,213 is 1368085368.

Find LCM of 302,409,312,213 with Prime Factorization

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

2 x 3 x 151 x 409 x 52 x 71 = 1368085368

Therefore, the lowest common multiple of 302,409,312,213 is 1368085368.

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 409 x 312 x 213 = 8208512208

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

409 : 1, 409

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,409,312,213, is 1.

Now, the common factors can be found like this.

302:2x 151

409:409

312:2x 2x 2x 3x 13

213:3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8208512208/(1x6)

LCM = 8208512208/6

LCM = 1368085368

Thus, we can understand that the LCM of 302,409,312,213 is 1368085368.

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

• LCM of 919, 970, 429, 801
• LCM of 282, 107, 199, 261
• LCM of 689, 683, 710, 956
• LCM of 128, 755, 112, 368
• LCM of 943, 726, 854, 278

1. What is the LCM of 302, 409, 312, 213?

Answer: LCM of 302, 409, 312, 213 is 1368085368.

2. How to calculate the LCM of 302, 409, 312, 213?

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, 409, 312, 213.

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}.