LCM of 136, 378, 161, 836, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 378, 161, 836, 437 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 136, 378, 161, 836, 437. So, keep reading to learn more.
Given numbers are 136,378,161,836,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,378,161,836,437 is 123559128.
Find LCM of 136,378,161,836,437 with Prime Factorization
| 2 | 136, 378, 161, 836, 437 |
| 2 | 68, 189, 161, 418, 437 |
| 7 | 34, 189, 161, 209, 437 |
| 19 | 34, 27, 23, 209, 437 |
| 23 | 34, 27, 23, 11, 23 |
| 34, 27, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 23 x 34 x 27 x 1 x 11 x 1 = 123559128
Therefore, the lowest common multiple of 136,378,161,836,437 is 123559128.
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.
136 x 378 x 161 x 836 x 437 = 3023738980416
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
161 : 1, 7, 23, 161
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,378,161,836,437, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
378:2x 3x 3x 3x 7
161:7x 23
836:2x 2x 11x 19
437:19x 23
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 7x 19x 23 = 24472
Therefore, the value for common factors is 24472.
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 = 3023738980416/(1x24472)
LCM = 3023738980416/24472
LCM = 123559128
Thus, we can understand that the LCM of 136,378,161,836,437 is 123559128.
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FAQs on LCM of 136, 378, 161, 836, 437
1. What is the LCM of 136, 378, 161, 836, 437?
Answer: LCM of 136, 378, 161, 836, 437 is 123559128.
2. How to calculate the LCM of 136, 378, 161, 836, 437?
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 136, 378, 161, 836, 437.
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}.