LCM of 839, 610, 305, 429, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 610, 305, 429, 936 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 839, 610, 305, 429, 936. So, keep reading to learn more.
Given numbers are 839,610,305,429,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,610,305,429,936 is 2634694920.
Find LCM of 839,610,305,429,936 with Prime Factorization
| 2 | 839, 610, 305, 429, 936 |
| 3 | 839, 305, 305, 429, 468 |
| 5 | 839, 305, 305, 143, 156 |
| 13 | 839, 61, 61, 143, 156 |
| 61 | 839, 61, 61, 11, 12 |
| 839, 1, 1, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 61 x 839 x 1 x 1 x 11 x 12 = 2634694920
Therefore, the lowest common multiple of 839,610,305,429,936 is 2634694920.
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.
839 x 610 x 305 x 429 x 936 = 62679392146800
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.
839 : 1, 839
610 : 1, 2, 5, 10, 61, 122, 305, 610
305 : 1, 5, 61, 305
429 : 1, 3, 11, 13, 33, 39, 143, 429
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,610,305,429,936, is 1.
Now, the common factors can be found like this.
839:839
610:2x 5x 61
305:5x 61
429:3x 11x 13
936:2x 2x 2x 3x 3x 13
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 5x 13x 61 = 23790
Therefore, the value for common factors is 23790.
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 = 62679392146800/(1x23790)
LCM = 62679392146800/23790
LCM = 2634694920
Thus, we can understand that the LCM of 839,610,305,429,936 is 2634694920.
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FAQs on LCM of 839, 610, 305, 429, 936
1. What is the LCM of 839, 610, 305, 429, 936?
Answer: LCM of 839, 610, 305, 429, 936 is 2634694920.
2. How to calculate the LCM of 839, 610, 305, 429, 936?
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 839, 610, 305, 429, 936.
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}.