LCM of 345, 107, 611, 260, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 107, 611, 260, 909 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 345, 107, 611, 260, 909. So, keep reading to learn more.
Given numbers are 345,107,611,260,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,107,611,260,909 is 27336738780.
Find LCM of 345,107,611,260,909 with Prime Factorization
| 3 | 345, 107, 611, 260, 909 |
| 5 | 115, 107, 611, 260, 303 |
| 13 | 23, 107, 611, 52, 303 |
| 23, 107, 47, 4, 303 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 23 x 107 x 47 x 4 x 303 = 27336738780
Therefore, the lowest common multiple of 345,107,611,260,909 is 27336738780.
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.
345 x 107 x 611 x 260 x 909 = 5330664062100
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
107 : 1, 107
611 : 1, 13, 47, 611
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,107,611,260,909, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
107:107
611:13x 47
260:2x 2x 5x 13
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 5330664062100/(1x195)
LCM = 5330664062100/195
LCM = 27336738780
Thus, we can understand that the LCM of 345,107,611,260,909 is 27336738780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 345, 107, 611, 260, 909
1. What is the LCM of 345, 107, 611, 260, 909?
Answer: LCM of 345, 107, 611, 260, 909 is 27336738780.
2. How to calculate the LCM of 345, 107, 611, 260, 909?
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 345, 107, 611, 260, 909.
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}.