LCM of 515, 777, 241, 490, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 777, 241, 490, 296 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 515, 777, 241, 490, 296. So, keep reading to learn more.
Given numbers are 515,777,241,490,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,777,241,490,296 is 5400491880.
Find LCM of 515,777,241,490,296 with Prime Factorization
| 2 | 515, 777, 241, 490, 296 |
| 5 | 515, 777, 241, 245, 148 |
| 7 | 103, 777, 241, 49, 148 |
| 37 | 103, 111, 241, 7, 148 |
| 103, 3, 241, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 37 x 103 x 3 x 241 x 7 x 4 = 5400491880
Therefore, the lowest common multiple of 515,777,241,490,296 is 5400491880.
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.
515 x 777 x 241 x 490 x 296 = 13987273969200
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.
515 : 1, 5, 103, 515
777 : 1, 3, 7, 21, 37, 111, 259, 777
241 : 1, 241
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,777,241,490,296, is 1.
Now, the common factors can be found like this.
515:5x 103
777:3x 7x 37
241:241
490:2x 5x 7x 7
296:2x 2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 37 = 2590
Therefore, the value for common factors is 2590.
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 = 13987273969200/(1x2590)
LCM = 13987273969200/2590
LCM = 5400491880
Thus, we can understand that the LCM of 515,777,241,490,296 is 5400491880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 777, 241, 490, 296
1. What is the LCM of 515, 777, 241, 490, 296?
Answer: LCM of 515, 777, 241, 490, 296 is 5400491880.
2. How to calculate the LCM of 515, 777, 241, 490, 296?
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 515, 777, 241, 490, 296.
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}.