LCM of 338, 218, 364, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 218, 364, 902 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 338, 218, 364, 902. So, keep reading to learn more.
Given numbers are 338,218,364,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,218,364,902 is 232620388.
Find LCM of 338,218,364,902 with Prime Factorization
| 2 | 338, 218, 364, 902 |
| 13 | 169, 109, 182, 451 |
| 13, 109, 14, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 109 x 14 x 451 = 232620388
Therefore, the lowest common multiple of 338,218,364,902 is 232620388.
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.
338 x 218 x 364 x 902 = 24192520352
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.
338 : 1, 2, 13, 26, 169, 338
218 : 1, 2, 109, 218
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
902 : 1, 2, 11, 22, 41, 82, 451, 902
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,218,364,902, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
218:2x 109
364:2x 2x 7x 13
902:2x 11x 41
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 13 = 52
Therefore, the value for common factors is 52.
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 = 24192520352/(2x52)
LCM = 24192520352/104
LCM = 232620388
Thus, we can understand that the LCM of 338,218,364,902 is 232620388.
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FAQs on LCM of 338, 218, 364, 902
1. What is the LCM of 338, 218, 364, 902?
Answer: LCM of 338, 218, 364, 902 is 232620388.
2. How to calculate the LCM of 338, 218, 364, 902?
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 338, 218, 364, 902.
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}.