Given numbers are 214,131,908,213

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

The LCM of 214,131,908,213 is 2710943868.

Find LCM of 214,131,908,213 with Prime Factorization

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

2 x 107 x 131 x 454 x 213 = 2710943868

Therefore, the lowest common multiple of 214,131,908,213 is 2710943868.

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 131 x 908 x 213 = 5421887736

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

131 : 1, 131

908 : 1, 2, 4, 227, 454, 908

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,131,908,213, is 1.

Now, the common factors can be found like this.

214:2x 107

131:131

908:2x 2x 227

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.

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 = 5421887736/(1x2)

LCM = 5421887736/2

LCM = 2710943868

Thus, we can understand that the LCM of 214,131,908,213 is 2710943868.

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

• LCM of 863, 780, 202, 834
• LCM of 426, 495, 960, 915
• LCM of 885, 727, 363, 836
• LCM of 922, 705, 322, 201
• LCM of 641, 263, 947, 275

1. What is the LCM of 214, 131, 908, 213?

Answer: LCM of 214, 131, 908, 213 is 2710943868.

2. How to calculate the LCM of 214, 131, 908, 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 214, 131, 908, 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}.