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LCM of 212, 136, 371, 306

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


Find the LCM of 212, 136, 371, 306 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 212, 136, 371, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,136,371,306

Given numbers are 212,136,371,306

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

The LCM of 212,136,371,306 is 454104.

Find LCM of 212,136,371,306 with Prime Factorization


2 212, 136, 371, 306
2 106, 68, 371, 153
17 53, 34, 371, 153
53 53, 2, 371, 9
1, 2, 7, 9

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

2 x 2 x 17 x 53 x 1 x 2 x 7 x 9 = 454104

Therefore, the lowest common multiple of 212,136,371,306 is 454104.

LCM Formula to Find Lowest Common Multiple of 212,136,371,306

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.

212 x 136 x 371 x 306 = 3273181632

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.

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

371 : 1, 7, 53, 371

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,136,371,306, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

136:2x 2x 2x 17

371:7x 53

306:2x 3x 3x 17

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 2x 17x 53 = 7208

Therefore, the value for common factors is 7208.

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 = 3273181632/(1x7208)

LCM = 3273181632/7208

LCM = 454104

Thus, we can understand that the LCM of 212,136,371,306 is 454104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 136, 371, 306

1. What is the LCM of 212, 136, 371, 306?

Answer: LCM of 212, 136, 371, 306 is 454104.

2. How to calculate the LCM of 212, 136, 371, 306?

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 212, 136, 371, 306.

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}.