LCM of 105, 204, 376, 659, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 204, 376, 659, 360 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 105, 204, 376, 659, 360. So, keep reading to learn more.
Given numbers are 105,204,376,659,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,204,376,659,360 is 1326883320.
Find LCM of 105,204,376,659,360 with Prime Factorization
| 2 | 105, 204, 376, 659, 360 |
| 2 | 105, 102, 188, 659, 180 |
| 2 | 105, 51, 94, 659, 90 |
| 3 | 105, 51, 47, 659, 45 |
| 5 | 35, 17, 47, 659, 15 |
| 7, 17, 47, 659, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 17 x 47 x 659 x 3 = 1326883320
Therefore, the lowest common multiple of 105,204,376,659,360 is 1326883320.
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.
105 x 204 x 376 x 659 x 360 = 1910711980800
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
376 : 1, 2, 4, 8, 47, 94, 188, 376
659 : 1, 659
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,204,376,659,360, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
204:2x 2x 3x 17
376:2x 2x 2x 47
659:659
360:2x 2x 2x 3x 3x 5
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 1910711980800/(1x1440)
LCM = 1910711980800/1440
LCM = 1326883320
Thus, we can understand that the LCM of 105,204,376,659,360 is 1326883320.
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FAQs on LCM of 105, 204, 376, 659, 360
1. What is the LCM of 105, 204, 376, 659, 360?
Answer: LCM of 105, 204, 376, 659, 360 is 1326883320.
2. How to calculate the LCM of 105, 204, 376, 659, 360?
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 105, 204, 376, 659, 360.
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}.