LCM of 262, 488, 241, 610, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 488, 241, 610, 524 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 262, 488, 241, 610, 524. So, keep reading to learn more.
Given numbers are 262,488,241,610,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,488,241,610,524 is 77033240.
Find LCM of 262,488,241,610,524 with Prime Factorization
| 2 | 262, 488, 241, 610, 524 |
| 2 | 131, 244, 241, 305, 262 |
| 61 | 131, 122, 241, 305, 131 |
| 131 | 131, 2, 241, 5, 131 |
| 1, 2, 241, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 131 x 1 x 2 x 241 x 5 x 1 = 77033240
Therefore, the lowest common multiple of 262,488,241,610,524 is 77033240.
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.
262 x 488 x 241 x 610 x 524 = 9849161933440
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.
262 : 1, 2, 131, 262
488 : 1, 2, 4, 8, 61, 122, 244, 488
241 : 1, 241
610 : 1, 2, 5, 10, 61, 122, 305, 610
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,488,241,610,524, is 1.
Now, the common factors can be found like this.
262:2x 131
488:2x 2x 2x 61
241:241
610:2x 5x 61
524:2x 2x 131
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 2x 2x 61x 131 = 127856
Therefore, the value for common factors is 127856.
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 = 9849161933440/(1x127856)
LCM = 9849161933440/127856
LCM = 77033240
Thus, we can understand that the LCM of 262,488,241,610,524 is 77033240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 488, 241, 610, 524
1. What is the LCM of 262, 488, 241, 610, 524?
Answer: LCM of 262, 488, 241, 610, 524 is 77033240.
2. How to calculate the LCM of 262, 488, 241, 610, 524?
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 262, 488, 241, 610, 524.
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}.