LCM of 309, 526, 742, 265, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 526, 742, 265, 305 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, 526, 742, 265, 305. So, keep reading to learn more.
Given numbers are 309,526,742,265,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,526,742,265,305 is 18391534770.
Find LCM of 309,526,742,265,305 with Prime Factorization
| 2 | 309, 526, 742, 265, 305 |
| 5 | 309, 263, 371, 265, 305 |
| 53 | 309, 263, 371, 53, 61 |
| 309, 263, 7, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 309 x 263 x 7 x 1 x 61 = 18391534770
Therefore, the lowest common multiple of 309,526,742,265,305 is 18391534770.
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 526 x 742 x 265 x 305 = 9747513428100
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
526 : 1, 2, 263, 526
742 : 1, 2, 7, 14, 53, 106, 371, 742
265 : 1, 5, 53, 265
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,526,742,265,305, is 1.
Now, the common factors can be found like this.
309:3x 103
526:2x 263
742:2x 7x 53
265:5x 53
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 53 = 530
Therefore, the value for common factors is 530.
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 = 9747513428100/(1x530)
LCM = 9747513428100/530
LCM = 18391534770
Thus, we can understand that the LCM of 309,526,742,265,305 is 18391534770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 526, 742, 265, 305
1. What is the LCM of 309, 526, 742, 265, 305?
Answer: LCM of 309, 526, 742, 265, 305 is 18391534770.
2. How to calculate the LCM of 309, 526, 742, 265, 305?
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, 526, 742, 265, 305.
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}.