LCM of 775, 984, 779, 411, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 984, 779, 411, 741 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 775, 984, 779, 411, 741. So, keep reading to learn more.
Given numbers are 775,984,779,411,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,984,779,411,741 is 25805621400.
Find LCM of 775,984,779,411,741 with Prime Factorization
| 3 | 775, 984, 779, 411, 741 |
| 19 | 775, 328, 779, 137, 247 |
| 41 | 775, 328, 41, 137, 13 |
| 775, 8, 1, 137, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 41 x 775 x 8 x 1 x 137 x 13 = 25805621400
Therefore, the lowest common multiple of 775,984,779,411,741 is 25805621400.
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.
775 x 984 x 779 x 411 x 741 = 180923211635400
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.
775 : 1, 5, 25, 31, 155, 775
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
779 : 1, 19, 41, 779
411 : 1, 3, 137, 411
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,984,779,411,741, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
984:2x 2x 2x 3x 41
779:19x 41
411:3x 137
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19x 41 = 7011
Therefore, the value for common factors is 7011.
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 = 180923211635400/(1x7011)
LCM = 180923211635400/7011
LCM = 25805621400
Thus, we can understand that the LCM of 775,984,779,411,741 is 25805621400.
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FAQs on LCM of 775, 984, 779, 411, 741
1. What is the LCM of 775, 984, 779, 411, 741?
Answer: LCM of 775, 984, 779, 411, 741 is 25805621400.
2. How to calculate the LCM of 775, 984, 779, 411, 741?
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 775, 984, 779, 411, 741.
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}.