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LCM of 908, 323, 418, 852

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


Find the LCM of 908, 323, 418, 852 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 908, 323, 418, 852. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,323,418,852

Given numbers are 908,323,418,852

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

The LCM of 908,323,418,852 is 687164412.

Find LCM of 908,323,418,852 with Prime Factorization


2 908, 323, 418, 852
2 454, 323, 209, 426
19 227, 323, 209, 213
227, 17, 11, 213

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

2 x 2 x 19 x 227 x 17 x 11 x 213 = 687164412

Therefore, the lowest common multiple of 908,323,418,852 is 687164412.

LCM Formula to Find Lowest Common Multiple of 908,323,418,852

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.

908 x 323 x 418 x 852 = 104448990624

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.

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

323 : 1, 17, 19, 323

418 : 1, 2, 11, 19, 22, 38, 209, 418

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,323,418,852, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

323:17x 19

418:2x 11x 19

852:2x 2x 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.

2x 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 104448990624/(1x152)

LCM = 104448990624/152

LCM = 687164412

Thus, we can understand that the LCM of 908,323,418,852 is 687164412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 323, 418, 852

1. What is the LCM of 908, 323, 418, 852?

Answer: LCM of 908, 323, 418, 852 is 687164412.

2. How to calculate the LCM of 908, 323, 418, 852?

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 908, 323, 418, 852.

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}.