LCM of 120, 476, 204, 387, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 476, 204, 387, 795 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 120, 476, 204, 387, 795. So, keep reading to learn more.
Given numbers are 120,476,204,387,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,476,204,387,795 is 97632360.
Find LCM of 120,476,204,387,795 with Prime Factorization
| 2 | 120, 476, 204, 387, 795 |
| 2 | 60, 238, 102, 387, 795 |
| 3 | 30, 119, 51, 387, 795 |
| 5 | 10, 119, 17, 129, 265 |
| 17 | 2, 119, 17, 129, 53 |
| 2, 7, 1, 129, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 2 x 7 x 1 x 129 x 53 = 97632360
Therefore, the lowest common multiple of 120,476,204,387,795 is 97632360.
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.
120 x 476 x 204 x 387 x 795 = 3585060259200
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
387 : 1, 3, 9, 43, 129, 387
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,476,204,387,795, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
476:2x 2x 7x 17
204:2x 2x 3x 17
387:3x 3x 43
795:3x 5x 53
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 3x 3x 3x 5x 17 = 36720
Therefore, the value for common factors is 36720.
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 = 3585060259200/(1x36720)
LCM = 3585060259200/36720
LCM = 97632360
Thus, we can understand that the LCM of 120,476,204,387,795 is 97632360.
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FAQs on LCM of 120, 476, 204, 387, 795
1. What is the LCM of 120, 476, 204, 387, 795?
Answer: LCM of 120, 476, 204, 387, 795 is 97632360.
2. How to calculate the LCM of 120, 476, 204, 387, 795?
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 120, 476, 204, 387, 795.
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}.