Given numbers are 314,289,942,212

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

The LCM of 314,289,942,212 is 28857228.

Find LCM of 314,289,942,212 with Prime Factorization

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

2 x 157 x 1 x 289 x 3 x 106 = 28857228

Therefore, the lowest common multiple of 314,289,942,212 is 28857228.

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.

314 x 289 x 942 x 212 = 18122339184

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.

314 : 1, 2, 157, 314

289 : 1, 17, 289

942 : 1, 2, 3, 6, 157, 314, 471, 942

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,289,942,212, is 1.

Now, the common factors can be found like this.

314:2x 157

289:17x 17

942:2x 3x 157

212:2x 2x 53

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 157 = 628

Therefore, the value for common factors is 628.

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 = 18122339184/(1x628)

LCM = 18122339184/628

LCM = 28857228

Thus, we can understand that the LCM of 314,289,942,212 is 28857228.

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

• LCM of 288, 966, 810, 808
• LCM of 681, 997, 928, 268
• LCM of 672, 757, 550, 974
• LCM of 143, 683, 800, 427
• LCM of 941, 981, 362, 487

1. What is the LCM of 314, 289, 942, 212?

Answer: LCM of 314, 289, 942, 212 is 28857228.

2. How to calculate the LCM of 314, 289, 942, 212?

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 314, 289, 942, 212.

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}.