LCM of 344, 651, 849, 938, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 651, 849, 938, 914 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 344, 651, 849, 938, 914. So, keep reading to learn more.
Given numbers are 344,651,849,938,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,651,849,938,914 is 1940514398088.
Find LCM of 344,651,849,938,914 with Prime Factorization
| 2 | 344, 651, 849, 938, 914 |
| 3 | 172, 651, 849, 469, 457 |
| 7 | 172, 217, 283, 469, 457 |
| 172, 31, 283, 67, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 172 x 31 x 283 x 67 x 457 = 1940514398088
Therefore, the lowest common multiple of 344,651,849,938,914 is 1940514398088.
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.
344 x 651 x 849 x 938 x 914 = 163003209439392
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
651 : 1, 3, 7, 21, 31, 93, 217, 651
849 : 1, 3, 283, 849
938 : 1, 2, 7, 14, 67, 134, 469, 938
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,651,849,938,914, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
651:3x 7x 31
849:3x 283
938:2x 7x 67
914:2x 457
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 163003209439392/(1x84)
LCM = 163003209439392/84
LCM = 1940514398088
Thus, we can understand that the LCM of 344,651,849,938,914 is 1940514398088.
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FAQs on LCM of 344, 651, 849, 938, 914
1. What is the LCM of 344, 651, 849, 938, 914?
Answer: LCM of 344, 651, 849, 938, 914 is 1940514398088.
2. How to calculate the LCM of 344, 651, 849, 938, 914?
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 344, 651, 849, 938, 914.
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}.