LCM of 169, 378, 254, 581, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 378, 254, 581, 394 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 169, 378, 254, 581, 394. So, keep reading to learn more.
Given numbers are 169,378,254,581,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,378,254,581,394 is 132655891914.
Find LCM of 169,378,254,581,394 with Prime Factorization
| 2 | 169, 378, 254, 581, 394 |
| 7 | 169, 189, 127, 581, 197 |
| 169, 27, 127, 83, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 169 x 27 x 127 x 83 x 197 = 132655891914
Therefore, the lowest common multiple of 169,378,254,581,394 is 132655891914.
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.
169 x 378 x 254 x 581 x 394 = 3714364973592
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.
169 : 1, 13, 169
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
254 : 1, 2, 127, 254
581 : 1, 7, 83, 581
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,378,254,581,394, is 1.
Now, the common factors can be found like this.
169:13x 13
378:2x 3x 3x 3x 7
254:2x 127
581:7x 83
394:2x 197
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 7 = 28
Therefore, the value for common factors is 28.
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 = 3714364973592/(1x28)
LCM = 3714364973592/28
LCM = 132655891914
Thus, we can understand that the LCM of 169,378,254,581,394 is 132655891914.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 378, 254, 581, 394
1. What is the LCM of 169, 378, 254, 581, 394?
Answer: LCM of 169, 378, 254, 581, 394 is 132655891914.
2. How to calculate the LCM of 169, 378, 254, 581, 394?
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 169, 378, 254, 581, 394.
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}.