LCM of 366, 856, 139, 420, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 856, 139, 420, 119 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 366, 856, 139, 420, 119. So, keep reading to learn more.
Given numbers are 366,856,139,420,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,856,139,420,119 is 12955572840.
Find LCM of 366,856,139,420,119 with Prime Factorization
| 2 | 366, 856, 139, 420, 119 |
| 2 | 183, 428, 139, 210, 119 |
| 3 | 183, 214, 139, 105, 119 |
| 7 | 61, 214, 139, 35, 119 |
| 61, 214, 139, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 61 x 214 x 139 x 5 x 17 = 12955572840
Therefore, the lowest common multiple of 366,856,139,420,119 is 12955572840.
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.
366 x 856 x 139 x 420 x 119 = 2176536237120
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
856 : 1, 2, 4, 8, 107, 214, 428, 856
139 : 1, 139
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,856,139,420,119, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
856:2x 2x 2x 107
139:139
420:2x 2x 3x 5x 7
119:7x 17
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 2176536237120/(1x168)
LCM = 2176536237120/168
LCM = 12955572840
Thus, we can understand that the LCM of 366,856,139,420,119 is 12955572840.
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FAQs on LCM of 366, 856, 139, 420, 119
1. What is the LCM of 366, 856, 139, 420, 119?
Answer: LCM of 366, 856, 139, 420, 119 is 12955572840.
2. How to calculate the LCM of 366, 856, 139, 420, 119?
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 366, 856, 139, 420, 119.
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}.