LCM of 260, 706, 849, 676, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 706, 849, 676, 225 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, 706, 849, 676, 225. So, keep reading to learn more.
Given numbers are 260,706,849,676,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,706,849,676,225 is 15194637900.
Find LCM of 260,706,849,676,225 with Prime Factorization
| 2 | 260, 706, 849, 676, 225 |
| 2 | 130, 353, 849, 338, 225 |
| 3 | 65, 353, 849, 169, 225 |
| 5 | 65, 353, 283, 169, 75 |
| 13 | 13, 353, 283, 169, 15 |
| 1, 353, 283, 13, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 353 x 283 x 13 x 15 = 15194637900
Therefore, the lowest common multiple of 260,706,849,676,225 is 15194637900.
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 706 x 849 x 676 x 225 = 23703635124000
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
706 : 1, 2, 353, 706
849 : 1, 3, 283, 849
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,706,849,676,225, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
706:2x 353
849:3x 283
676:2x 2x 13x 13
225:3x 3x 5x 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 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 23703635124000/(1x1560)
LCM = 23703635124000/1560
LCM = 15194637900
Thus, we can understand that the LCM of 260,706,849,676,225 is 15194637900.
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FAQs on LCM of 260, 706, 849, 676, 225
1. What is the LCM of 260, 706, 849, 676, 225?
Answer: LCM of 260, 706, 849, 676, 225 is 15194637900.
2. How to calculate the LCM of 260, 706, 849, 676, 225?
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, 706, 849, 676, 225.
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}.