LCM of 665, 438, 726, 779, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 438, 726, 779, 261 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 665, 438, 726, 779, 261. So, keep reading to learn more.
Given numbers are 665,438,726,779,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,438,726,779,261 is 125714170890.
Find LCM of 665,438,726,779,261 with Prime Factorization
| 2 | 665, 438, 726, 779, 261 |
| 3 | 665, 219, 363, 779, 261 |
| 19 | 665, 73, 121, 779, 87 |
| 35, 73, 121, 41, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 35 x 73 x 121 x 41 x 87 = 125714170890
Therefore, the lowest common multiple of 665,438,726,779,261 is 125714170890.
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.
665 x 438 x 726 x 779 x 261 = 42994246444380
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
438 : 1, 2, 3, 6, 73, 146, 219, 438
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
779 : 1, 19, 41, 779
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,438,726,779,261, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
438:2x 3x 73
726:2x 3x 11x 11
779:19x 41
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 42994246444380/(1x342)
LCM = 42994246444380/342
LCM = 125714170890
Thus, we can understand that the LCM of 665,438,726,779,261 is 125714170890.
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FAQs on LCM of 665, 438, 726, 779, 261
1. What is the LCM of 665, 438, 726, 779, 261?
Answer: LCM of 665, 438, 726, 779, 261 is 125714170890.
2. How to calculate the LCM of 665, 438, 726, 779, 261?
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 665, 438, 726, 779, 261.
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}.