LCM of 779, 841, 957, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 841, 957, 902 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 779, 841, 957, 902. So, keep reading to learn more.
Given numbers are 779,841,957,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,841,957,902 is 43239174.
Find LCM of 779,841,957,902 with Prime Factorization
| 11 | 779, 841, 957, 902 |
| 29 | 779, 841, 87, 82 |
| 41 | 779, 29, 3, 82 |
| 19, 29, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 41 x 19 x 29 x 3 x 2 = 43239174
Therefore, the lowest common multiple of 779,841,957,902 is 43239174.
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.
779 x 841 x 957 x 902 = 565525156746
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.
779 : 1, 19, 41, 779
841 : 1, 29, 841
957 : 1, 3, 11, 29, 33, 87, 319, 957
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,841,957,902, is 1.
Now, the common factors can be found like this.
779:19x 41
841:29x 29
957:3x 11x 29
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29x 41 = 13079
Therefore, the value for common factors is 13079.
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 = 565525156746/(1x13079)
LCM = 565525156746/13079
LCM = 43239174
Thus, we can understand that the LCM of 779,841,957,902 is 43239174.
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FAQs on LCM of 779, 841, 957, 902
1. What is the LCM of 779, 841, 957, 902?
Answer: LCM of 779, 841, 957, 902 is 43239174.
2. How to calculate the LCM of 779, 841, 957, 902?
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 779, 841, 957, 902.
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}.