LCM of 154, 360, 380, 831, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 360, 380, 831, 104 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, 360, 380, 831, 104. So, keep reading to learn more.
Given numbers are 154,360,380,831,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,360,380,831,104 is 1896574680.
Find LCM of 154,360,380,831,104 with Prime Factorization
| 2 | 154, 360, 380, 831, 104 |
| 2 | 77, 180, 190, 831, 52 |
| 2 | 77, 90, 95, 831, 26 |
| 3 | 77, 45, 95, 831, 13 |
| 5 | 77, 15, 95, 277, 13 |
| 77, 3, 19, 277, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 77 x 3 x 19 x 277 x 13 = 1896574680
Therefore, the lowest common multiple of 154,360,380,831,104 is 1896574680.
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 360 x 380 x 831 x 104 = 1820711692800
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
831 : 1, 3, 277, 831
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,360,380,831,104, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
360:2x 2x 2x 3x 3x 5
380:2x 2x 5x 19
831:3x 277
104:2x 2x 2x 13
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 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 1820711692800/(1x960)
LCM = 1820711692800/960
LCM = 1896574680
Thus, we can understand that the LCM of 154,360,380,831,104 is 1896574680.
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FAQs on LCM of 154, 360, 380, 831, 104
1. What is the LCM of 154, 360, 380, 831, 104?
Answer: LCM of 154, 360, 380, 831, 104 is 1896574680.
2. How to calculate the LCM of 154, 360, 380, 831, 104?
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, 360, 380, 831, 104.
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}.