LCM of 339, 625, 138, 604, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 625, 138, 604, 897 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 339, 625, 138, 604, 897. So, keep reading to learn more.
Given numbers are 339,625,138,604,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,625,138,604,897 is 38263777500.
Find LCM of 339,625,138,604,897 with Prime Factorization
| 2 | 339, 625, 138, 604, 897 |
| 3 | 339, 625, 69, 302, 897 |
| 23 | 113, 625, 23, 302, 299 |
| 113, 625, 1, 302, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 113 x 625 x 1 x 302 x 13 = 38263777500
Therefore, the lowest common multiple of 339,625,138,604,897 is 38263777500.
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.
339 x 625 x 138 x 604 x 897 = 15841203885000
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.
339 : 1, 3, 113, 339
625 : 1, 5, 25, 125, 625
138 : 1, 2, 3, 6, 23, 46, 69, 138
604 : 1, 2, 4, 151, 302, 604
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,625,138,604,897, is 1.
Now, the common factors can be found like this.
339:3x 113
625:5x 5x 5x 5
138:2x 3x 23
604:2x 2x 151
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 15841203885000/(1x414)
LCM = 15841203885000/414
LCM = 38263777500
Thus, we can understand that the LCM of 339,625,138,604,897 is 38263777500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 625, 138, 604, 897
1. What is the LCM of 339, 625, 138, 604, 897?
Answer: LCM of 339, 625, 138, 604, 897 is 38263777500.
2. How to calculate the LCM of 339, 625, 138, 604, 897?
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 339, 625, 138, 604, 897.
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}.