Given numbers are 214,177,234,303

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

The LCM of 214,177,234,303 is 149201442.

Find LCM of 214,177,234,303 with Prime Factorization

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

2 x 3 x 107 x 59 x 39 x 101 = 149201442

Therefore, the lowest common multiple of 214,177,234,303 is 149201442.

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.

214 x 177 x 234 x 303 = 2685625956

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.

214 : 1, 2, 107, 214

177 : 1, 3, 59, 177

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,177,234,303, is 1.

Now, the common factors can be found like this.

214:2x 107

177:3x 59

234:2x 3x 3x 13

303:3x 101

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2685625956/(1x18)

LCM = 2685625956/18

LCM = 149201442

Thus, we can understand that the LCM of 214,177,234,303 is 149201442.

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

• LCM of 233, 714, 991, 289
• LCM of 690, 699, 787, 658
• LCM of 418, 888, 746, 852
• LCM of 172, 948, 632, 305
• LCM of 402, 879, 383, 551

1. What is the LCM of 214, 177, 234, 303?

Answer: LCM of 214, 177, 234, 303 is 149201442.

2. How to calculate the LCM of 214, 177, 234, 303?

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 214, 177, 234, 303.

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}.