LCM of 260, 170, 953, 845, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 170, 953, 845, 357 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 260, 170, 953, 845, 357. So, keep reading to learn more.
Given numbers are 260,170,953,845,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,170,953,845,357 is 1149946980.
Find LCM of 260,170,953,845,357 with Prime Factorization
| 2 | 260, 170, 953, 845, 357 |
| 5 | 130, 85, 953, 845, 357 |
| 13 | 26, 17, 953, 169, 357 |
| 17 | 2, 17, 953, 13, 357 |
| 2, 1, 953, 13, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 2 x 1 x 953 x 13 x 21 = 1149946980
Therefore, the lowest common multiple of 260,170,953,845,357 is 1149946980.
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.
260 x 170 x 953 x 845 x 357 = 12706914129000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
170 : 1, 2, 5, 10, 17, 34, 85, 170
953 : 1, 953
845 : 1, 5, 13, 65, 169, 845
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,170,953,845,357, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
170:2x 5x 17
953:953
845:5x 13x 13
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13x 17 = 11050
Therefore, the value for common factors is 11050.
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 = 12706914129000/(1x11050)
LCM = 12706914129000/11050
LCM = 1149946980
Thus, we can understand that the LCM of 260,170,953,845,357 is 1149946980.
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FAQs on LCM of 260, 170, 953, 845, 357
1. What is the LCM of 260, 170, 953, 845, 357?
Answer: LCM of 260, 170, 953, 845, 357 is 1149946980.
2. How to calculate the LCM of 260, 170, 953, 845, 357?
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 260, 170, 953, 845, 357.
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}.