LCM of 858, 195, 364, 467, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 195, 364, 467, 260 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 858, 195, 364, 467, 260. So, keep reading to learn more.
Given numbers are 858,195,364,467,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,195,364,467,260 is 28048020.
Find LCM of 858,195,364,467,260 with Prime Factorization
| 2 | 858, 195, 364, 467, 260 |
| 2 | 429, 195, 182, 467, 130 |
| 3 | 429, 195, 91, 467, 65 |
| 5 | 143, 65, 91, 467, 65 |
| 13 | 143, 13, 91, 467, 13 |
| 11, 1, 7, 467, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 11 x 1 x 7 x 467 x 1 = 28048020
Therefore, the lowest common multiple of 858,195,364,467,260 is 28048020.
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.
858 x 195 x 364 x 467 x 260 = 7394579992800
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
195 : 1, 3, 5, 13, 15, 39, 65, 195
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
467 : 1, 467
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,195,364,467,260, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
195:3x 5x 13
364:2x 2x 7x 13
467:467
260:2x 2x 5x 13
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 3x 5x 13x 13x 13 = 263640
Therefore, the value for common factors is 263640.
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 = 7394579992800/(1x263640)
LCM = 7394579992800/263640
LCM = 28048020
Thus, we can understand that the LCM of 858,195,364,467,260 is 28048020.
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FAQs on LCM of 858, 195, 364, 467, 260
1. What is the LCM of 858, 195, 364, 467, 260?
Answer: LCM of 858, 195, 364, 467, 260 is 28048020.
2. How to calculate the LCM of 858, 195, 364, 467, 260?
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 858, 195, 364, 467, 260.
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}.