LCM of 609, 377, 127, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 377, 127, 312 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 609, 377, 127, 312. So, keep reading to learn more.
Given numbers are 609,377,127,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,377,127,312 is 8043672.
Find LCM of 609,377,127,312 with Prime Factorization
| 3 | 609, 377, 127, 312 |
| 13 | 203, 377, 127, 104 |
| 29 | 203, 29, 127, 8 |
| 7, 1, 127, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 29 x 7 x 1 x 127 x 8 = 8043672
Therefore, the lowest common multiple of 609,377,127,312 is 8043672.
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.
609 x 377 x 127 x 312 = 9097393032
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
377 : 1, 13, 29, 377
127 : 1, 127
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,377,127,312, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
377:13x 29
127:127
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 29 = 1131
Therefore, the value for common factors is 1131.
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 = 9097393032/(1x1131)
LCM = 9097393032/1131
LCM = 8043672
Thus, we can understand that the LCM of 609,377,127,312 is 8043672.
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FAQs on LCM of 609, 377, 127, 312
1. What is the LCM of 609, 377, 127, 312?
Answer: LCM of 609, 377, 127, 312 is 8043672.
2. How to calculate the LCM of 609, 377, 127, 312?
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 609, 377, 127, 312.
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}.