LCM of 837, 605, 912, 374, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 605, 912, 374, 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 837, 605, 912, 374, 936. So, keep reading to learn more.
Given numbers are 837,605,912,374,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,605,912,374,936 is 34020969840.
Find LCM of 837,605,912,374,936 with Prime Factorization
| 2 | 837, 605, 912, 374, 936 |
| 2 | 837, 605, 456, 187, 468 |
| 2 | 837, 605, 228, 187, 234 |
| 3 | 837, 605, 114, 187, 117 |
| 3 | 279, 605, 38, 187, 39 |
| 11 | 93, 605, 38, 187, 13 |
| 93, 55, 38, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 93 x 55 x 38 x 17 x 13 = 34020969840
Therefore, the lowest common multiple of 837,605,912,374,936 is 34020969840.
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.
837 x 605 x 912 x 374 x 936 = 161667648679680
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
605 : 1, 5, 11, 55, 121, 605
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
374 : 1, 2, 11, 17, 22, 34, 187, 374
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 837,605,912,374,936, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
605:5x 11x 11
912:2x 2x 2x 2x 3x 19
374:2x 11x 17
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 2x 2x 2x 3x 3x 3x 11 = 4752
Therefore, the value for common factors is 4752.
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 = 161667648679680/(1x4752)
LCM = 161667648679680/4752
LCM = 34020969840
Thus, we can understand that the LCM of 837,605,912,374,936 is 34020969840.
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FAQs on LCM of 837, 605, 912, 374, 936
1. What is the LCM of 837, 605, 912, 374, 936?
Answer: LCM of 837, 605, 912, 374, 936 is 34020969840.
2. How to calculate the LCM of 837, 605, 912, 374, 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 837, 605, 912, 374, 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}.