LCM of 796, 815, 572, 841, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 815, 572, 841, 918 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 796, 815, 572, 841, 918. So, keep reading to learn more.
Given numbers are 796,815,572,841,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,815,572,841,918 is 35810913146580.
Find LCM of 796,815,572,841,918 with Prime Factorization
| 2 | 796, 815, 572, 841, 918 |
| 2 | 398, 815, 286, 841, 459 |
| 199, 815, 143, 841, 459 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 199 x 815 x 143 x 841 x 459 = 35810913146580
Therefore, the lowest common multiple of 796,815,572,841,918 is 35810913146580.
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.
796 x 815 x 572 x 841 x 918 = 286487305172640
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.
796 : 1, 2, 4, 199, 398, 796
815 : 1, 5, 163, 815
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
841 : 1, 29, 841
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,815,572,841,918, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
815:5x 163
572:2x 2x 11x 13
841:29x 29
918:2x 3x 3x 3x 17
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 2 = 8
Therefore, the value for common factors is 8.
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 = 286487305172640/(1x8)
LCM = 286487305172640/8
LCM = 35810913146580
Thus, we can understand that the LCM of 796,815,572,841,918 is 35810913146580.
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FAQs on LCM of 796, 815, 572, 841, 918
1. What is the LCM of 796, 815, 572, 841, 918?
Answer: LCM of 796, 815, 572, 841, 918 is 35810913146580.
2. How to calculate the LCM of 796, 815, 572, 841, 918?
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 796, 815, 572, 841, 918.
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}.