LCM of 264, 360, 120, 379, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 360, 120, 379, 415 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 264, 360, 120, 379, 415. So, keep reading to learn more.
Given numbers are 264,360,120,379,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,360,120,379,415 is 124569720.
Find LCM of 264,360,120,379,415 with Prime Factorization
| 2 | 264, 360, 120, 379, 415 |
| 2 | 132, 180, 60, 379, 415 |
| 2 | 66, 90, 30, 379, 415 |
| 3 | 33, 45, 15, 379, 415 |
| 5 | 11, 5, 15, 379, 415 |
| 11, 1, 3, 379, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 1 x 3 x 379 x 83 = 124569720
Therefore, the lowest common multiple of 264,360,120,379,415 is 124569720.
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.
264 x 360 x 120 x 379 x 415 = 1793803968000
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
379 : 1, 379
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,360,120,379,415, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
360:2x 2x 2x 3x 3x 5
120:2x 2x 2x 3x 5
379:379
415:5x 83
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 2x 2x 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 1793803968000/(1x14400)
LCM = 1793803968000/14400
LCM = 124569720
Thus, we can understand that the LCM of 264,360,120,379,415 is 124569720.
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FAQs on LCM of 264, 360, 120, 379, 415
1. What is the LCM of 264, 360, 120, 379, 415?
Answer: LCM of 264, 360, 120, 379, 415 is 124569720.
2. How to calculate the LCM of 264, 360, 120, 379, 415?
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 264, 360, 120, 379, 415.
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}.