LCM of 137, 832, 952, 546, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 832, 952, 546, 221 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 137, 832, 952, 546, 221. So, keep reading to learn more.
Given numbers are 137,832,952,546,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,832,952,546,221 is 40692288.
Find LCM of 137,832,952,546,221 with Prime Factorization
| 2 | 137, 832, 952, 546, 221 |
| 2 | 137, 416, 476, 273, 221 |
| 2 | 137, 208, 238, 273, 221 |
| 7 | 137, 104, 119, 273, 221 |
| 13 | 137, 104, 17, 39, 221 |
| 17 | 137, 8, 17, 3, 17 |
| 137, 8, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 17 x 137 x 8 x 1 x 3 x 1 = 40692288
Therefore, the lowest common multiple of 137,832,952,546,221 is 40692288.
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.
137 x 832 x 952 x 546 x 221 = 13093801663488
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.
137 : 1, 137
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,832,952,546,221, is 1.
Now, the common factors can be found like this.
137:137
832:2x 2x 2x 2x 2x 2x 13
952:2x 2x 2x 7x 17
546:2x 3x 7x 13
221:13x 17
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 7x 13x 13x 17 = 321776
Therefore, the value for common factors is 321776.
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 = 13093801663488/(1x321776)
LCM = 13093801663488/321776
LCM = 40692288
Thus, we can understand that the LCM of 137,832,952,546,221 is 40692288.
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FAQs on LCM of 137, 832, 952, 546, 221
1. What is the LCM of 137, 832, 952, 546, 221?
Answer: LCM of 137, 832, 952, 546, 221 is 40692288.
2. How to calculate the LCM of 137, 832, 952, 546, 221?
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 137, 832, 952, 546, 221.
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}.