LCM of 889, 819, 187, 336, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 819, 187, 336, 421 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 889, 819, 187, 336, 421. So, keep reading to learn more.
Given numbers are 889,819,187,336,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,819,187,336,421 is 131018103216.
Find LCM of 889,819,187,336,421 with Prime Factorization
| 3 | 889, 819, 187, 336, 421 |
| 7 | 889, 273, 187, 112, 421 |
| 127, 39, 187, 16, 421 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 127 x 39 x 187 x 16 x 421 = 131018103216
Therefore, the lowest common multiple of 889,819,187,336,421 is 131018103216.
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.
889 x 819 x 187 x 336 x 421 = 19259661172752
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.
889 : 1, 7, 127, 889
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
187 : 1, 11, 17, 187
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,819,187,336,421, is 1.
Now, the common factors can be found like this.
889:7x 127
819:3x 3x 7x 13
187:11x 17
336:2x 2x 2x 2x 3x 7
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 19259661172752/(1x147)
LCM = 19259661172752/147
LCM = 131018103216
Thus, we can understand that the LCM of 889,819,187,336,421 is 131018103216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 819, 187, 336, 421
1. What is the LCM of 889, 819, 187, 336, 421?
Answer: LCM of 889, 819, 187, 336, 421 is 131018103216.
2. How to calculate the LCM of 889, 819, 187, 336, 421?
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 889, 819, 187, 336, 421.
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}.