LCM of 154, 495, 791, 882, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 495, 791, 882, 380 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 154, 495, 791, 882, 380. So, keep reading to learn more.
Given numbers are 154,495,791,882,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,495,791,882,380 is 208301940.
Find LCM of 154,495,791,882,380 with Prime Factorization
| 2 | 154, 495, 791, 882, 380 |
| 3 | 77, 495, 791, 441, 190 |
| 3 | 77, 165, 791, 147, 190 |
| 5 | 77, 55, 791, 49, 190 |
| 7 | 77, 11, 791, 49, 38 |
| 11 | 11, 11, 113, 7, 38 |
| 1, 1, 113, 7, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 1 x 1 x 113 x 7 x 38 = 208301940
Therefore, the lowest common multiple of 154,495,791,882,380 is 208301940.
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.
154 x 495 x 791 x 882 x 380 = 20209454218800
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
791 : 1, 7, 113, 791
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,495,791,882,380, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
495:3x 3x 5x 11
791:7x 113
882:2x 3x 3x 7x 7
380:2x 2x 5x 19
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 3x 3x 5x 7x 7x 11 = 97020
Therefore, the value for common factors is 97020.
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 = 20209454218800/(1x97020)
LCM = 20209454218800/97020
LCM = 208301940
Thus, we can understand that the LCM of 154,495,791,882,380 is 208301940.
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FAQs on LCM of 154, 495, 791, 882, 380
1. What is the LCM of 154, 495, 791, 882, 380?
Answer: LCM of 154, 495, 791, 882, 380 is 208301940.
2. How to calculate the LCM of 154, 495, 791, 882, 380?
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 154, 495, 791, 882, 380.
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}.