LCM of 787, 182, 779, 741, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 182, 779, 741, 742 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 787, 182, 779, 741, 742. So, keep reading to learn more.
Given numbers are 787,182,779,741,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,182,779,741,742 is 17741106474.
Find LCM of 787,182,779,741,742 with Prime Factorization
| 2 | 787, 182, 779, 741, 742 |
| 7 | 787, 91, 779, 741, 371 |
| 13 | 787, 13, 779, 741, 53 |
| 19 | 787, 1, 779, 57, 53 |
| 787, 1, 41, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 19 x 787 x 1 x 41 x 3 x 53 = 17741106474
Therefore, the lowest common multiple of 787,182,779,741,742 is 17741106474.
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.
787 x 182 x 779 x 741 x 742 = 61348746187092
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.
787 : 1, 787
182 : 1, 2, 7, 13, 14, 26, 91, 182
779 : 1, 19, 41, 779
741 : 1, 3, 13, 19, 39, 57, 247, 741
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,182,779,741,742, is 1.
Now, the common factors can be found like this.
787:787
182:2x 7x 13
779:19x 41
741:3x 13x 19
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 19 = 3458
Therefore, the value for common factors is 3458.
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 = 61348746187092/(1x3458)
LCM = 61348746187092/3458
LCM = 17741106474
Thus, we can understand that the LCM of 787,182,779,741,742 is 17741106474.
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FAQs on LCM of 787, 182, 779, 741, 742
1. What is the LCM of 787, 182, 779, 741, 742?
Answer: LCM of 787, 182, 779, 741, 742 is 17741106474.
2. How to calculate the LCM of 787, 182, 779, 741, 742?
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 787, 182, 779, 741, 742.
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}.