LCM of 936, 946, 363, 137, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 946, 363, 137, 231 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 936, 946, 363, 137, 231. So, keep reading to learn more.
Given numbers are 936,946,363,137,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,946,363,137,231 is 4670337672.
Find LCM of 936,946,363,137,231 with Prime Factorization
| 2 | 936, 946, 363, 137, 231 |
| 3 | 468, 473, 363, 137, 231 |
| 11 | 156, 473, 121, 137, 77 |
| 156, 43, 11, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 156 x 43 x 11 x 137 x 7 = 4670337672
Therefore, the lowest common multiple of 936,946,363,137,231 is 4670337672.
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.
936 x 946 x 363 x 137 x 231 = 10171995449616
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.
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
363 : 1, 3, 11, 33, 121, 363
137 : 1, 137
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,946,363,137,231, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
946:2x 11x 43
363:3x 11x 11
137:137
231:3x 7x 11
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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 10171995449616/(1x2178)
LCM = 10171995449616/2178
LCM = 4670337672
Thus, we can understand that the LCM of 936,946,363,137,231 is 4670337672.
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FAQs on LCM of 936, 946, 363, 137, 231
1. What is the LCM of 936, 946, 363, 137, 231?
Answer: LCM of 936, 946, 363, 137, 231 is 4670337672.
2. How to calculate the LCM of 936, 946, 363, 137, 231?
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 936, 946, 363, 137, 231.
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}.