LCM of 190, 381, 381, 805, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 381, 381, 805, 368 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 190, 381, 381, 805, 368. So, keep reading to learn more.
Given numbers are 190,381,381,805,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,381,381,805,368 is 93238320.
Find LCM of 190,381,381,805,368 with Prime Factorization
| 2 | 190, 381, 381, 805, 368 |
| 3 | 95, 381, 381, 805, 184 |
| 5 | 95, 127, 127, 805, 184 |
| 23 | 19, 127, 127, 161, 184 |
| 127 | 19, 127, 127, 7, 8 |
| 19, 1, 1, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 127 x 19 x 1 x 1 x 7 x 8 = 93238320
Therefore, the lowest common multiple of 190,381,381,805,368 is 93238320.
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.
190 x 381 x 381 x 805 x 368 = 8170473981600
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
381 : 1, 3, 127, 381
381 : 1, 3, 127, 381
805 : 1, 5, 7, 23, 35, 115, 161, 805
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,381,381,805,368, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
381:3x 127
381:3x 127
805:5x 7x 23
368:2x 2x 2x 2x 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 3x 5x 23x 127 = 87630
Therefore, the value for common factors is 87630.
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 = 8170473981600/(1x87630)
LCM = 8170473981600/87630
LCM = 93238320
Thus, we can understand that the LCM of 190,381,381,805,368 is 93238320.
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FAQs on LCM of 190, 381, 381, 805, 368
1. What is the LCM of 190, 381, 381, 805, 368?
Answer: LCM of 190, 381, 381, 805, 368 is 93238320.
2. How to calculate the LCM of 190, 381, 381, 805, 368?
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 190, 381, 381, 805, 368.
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}.