LCM of 612, 304, 909, 655, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 304, 909, 655, 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 612, 304, 909, 655, 909. So, keep reading to learn more.
Given numbers are 612,304,909,655,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,304,909,655,909 is 3077001360.
Find LCM of 612,304,909,655,909 with Prime Factorization
| 2 | 612, 304, 909, 655, 909 |
| 2 | 306, 152, 909, 655, 909 |
| 3 | 153, 76, 909, 655, 909 |
| 3 | 51, 76, 303, 655, 303 |
| 101 | 17, 76, 101, 655, 101 |
| 17, 76, 1, 655, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 101 x 17 x 76 x 1 x 655 x 1 = 3077001360
Therefore, the lowest common multiple of 612,304,909,655,909 is 3077001360.
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.
612 x 304 x 909 x 655 x 909 = 100691792504640
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
909 : 1, 3, 9, 101, 303, 909
655 : 1, 5, 131, 655
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 612,304,909,655,909, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
304:2x 2x 2x 2x 19
909:3x 3x 101
655:5x 131
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.
2x 2x 3x 3x 3x 3x 101 = 32724
Therefore, the value for common factors is 32724.
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 = 100691792504640/(1x32724)
LCM = 100691792504640/32724
LCM = 3077001360
Thus, we can understand that the LCM of 612,304,909,655,909 is 3077001360.
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FAQs on LCM of 612, 304, 909, 655, 909
1. What is the LCM of 612, 304, 909, 655, 909?
Answer: LCM of 612, 304, 909, 655, 909 is 3077001360.
2. How to calculate the LCM of 612, 304, 909, 655, 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 612, 304, 909, 655, 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}.