LCM of 309, 114, 309, 935, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 114, 309, 935, 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 309, 114, 309, 935, 119. So, keep reading to learn more.
Given numbers are 309,114,309,935,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,114,309,935,119 is 76851390.
Find LCM of 309,114,309,935,119 with Prime Factorization
| 3 | 309, 114, 309, 935, 119 |
| 17 | 103, 38, 103, 935, 119 |
| 103 | 103, 38, 103, 55, 7 |
| 1, 38, 1, 55, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 103 x 1 x 38 x 1 x 55 x 7 = 76851390
Therefore, the lowest common multiple of 309,114,309,935,119 is 76851390.
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.
309 x 114 x 309 x 935 x 119 = 1211101055010
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.
309 : 1, 3, 103, 309
114 : 1, 2, 3, 6, 19, 38, 57, 114
309 : 1, 3, 103, 309
935 : 1, 5, 11, 17, 55, 85, 187, 935
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,114,309,935,119, is 1.
Now, the common factors can be found like this.
309:3x 103
114:2x 3x 19
309:3x 103
935:5x 11x 17
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.
3x 3x 17x 103 = 15759
Therefore, the value for common factors is 15759.
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 = 1211101055010/(1x15759)
LCM = 1211101055010/15759
LCM = 76851390
Thus, we can understand that the LCM of 309,114,309,935,119 is 76851390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 114, 309, 935, 119
1. What is the LCM of 309, 114, 309, 935, 119?
Answer: LCM of 309, 114, 309, 935, 119 is 76851390.
2. How to calculate the LCM of 309, 114, 309, 935, 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 309, 114, 309, 935, 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}.