LCM of 318, 364, 864, 626, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 364, 864, 626, 212 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 318, 364, 864, 626, 212. So, keep reading to learn more.
Given numbers are 318,364,864,626,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,364,864,626,212 is 1304293536.
Find LCM of 318,364,864,626,212 with Prime Factorization
| 2 | 318, 364, 864, 626, 212 |
| 2 | 159, 182, 432, 313, 106 |
| 3 | 159, 91, 216, 313, 53 |
| 53 | 53, 91, 72, 313, 53 |
| 1, 91, 72, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 91 x 72 x 313 x 1 = 1304293536
Therefore, the lowest common multiple of 318,364,864,626,212 is 1304293536.
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.
318 x 364 x 864 x 626 x 212 = 13272491022336
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
626 : 1, 2, 313, 626
212 : 1, 2, 4, 53, 106, 212
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,364,864,626,212, is 2.
Now, the common factors can be found like this.
318:2x 3x 53
364:2x 2x 7x 13
864:2x 2x 2x 2x 2x 3x 3x 3
626:2x 313
212:2x 2x 53
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 2x 2x 3x 53 = 5088
Therefore, the value for common factors is 5088.
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 = 13272491022336/(2x5088)
LCM = 13272491022336/10176
LCM = 1304293536
Thus, we can understand that the LCM of 318,364,864,626,212 is 1304293536.
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FAQs on LCM of 318, 364, 864, 626, 212
1. What is the LCM of 318, 364, 864, 626, 212?
Answer: LCM of 318, 364, 864, 626, 212 is 1304293536.
2. How to calculate the LCM of 318, 364, 864, 626, 212?
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 318, 364, 864, 626, 212.
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}.