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LCM of 912, 210, 133, 214

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 912, 210, 133, 214 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 912, 210, 133, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,210,133,214

Given numbers are 912,210,133,214

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

The LCM of 912,210,133,214 is 3415440.

Find LCM of 912,210,133,214 with Prime Factorization


2 912, 210, 133, 214
3 456, 105, 133, 107
7 152, 35, 133, 107
19 152, 5, 19, 107
8, 5, 1, 107

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

2 x 3 x 7 x 19 x 8 x 5 x 1 x 107 = 3415440

Therefore, the lowest common multiple of 912,210,133,214 is 3415440.

LCM Formula to Find Lowest Common Multiple of 912,210,133,214

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.

912 x 210 x 133 x 214 = 5451042240

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

133 : 1, 7, 19, 133

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,210,133,214, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

210:2x 3x 5x 7

133:7x 19

214:2x 107

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 3x 7x 19 = 1596

Therefore, the value for common factors is 1596.

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 = 5451042240/(1x1596)

LCM = 5451042240/1596

LCM = 3415440

Thus, we can understand that the LCM of 912,210,133,214 is 3415440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 210, 133, 214

1. What is the LCM of 912, 210, 133, 214?

Answer: LCM of 912, 210, 133, 214 is 3415440.

2. How to calculate the LCM of 912, 210, 133, 214?

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 912, 210, 133, 214.

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}.