LCM of 232, 488, 748, 420, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 488, 748, 420, 361 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 232, 488, 748, 420, 361. So, keep reading to learn more.
Given numbers are 232,488,748,420,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,488,748,420,361 is 100312701720.
Find LCM of 232,488,748,420,361 with Prime Factorization
| 2 | 232, 488, 748, 420, 361 |
| 2 | 116, 244, 374, 210, 361 |
| 2 | 58, 122, 187, 105, 361 |
| 29, 61, 187, 105, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 61 x 187 x 105 x 361 = 100312701720
Therefore, the lowest common multiple of 232,488,748,420,361 is 100312701720.
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.
232 x 488 x 748 x 420 x 361 = 12840025820160
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
488 : 1, 2, 4, 8, 61, 122, 244, 488
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,488,748,420,361, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
488:2x 2x 2x 61
748:2x 2x 11x 17
420:2x 2x 3x 5x 7
361:19x 19
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 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 12840025820160/(1x128)
LCM = 12840025820160/128
LCM = 100312701720
Thus, we can understand that the LCM of 232,488,748,420,361 is 100312701720.
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FAQs on LCM of 232, 488, 748, 420, 361
1. What is the LCM of 232, 488, 748, 420, 361?
Answer: LCM of 232, 488, 748, 420, 361 is 100312701720.
2. How to calculate the LCM of 232, 488, 748, 420, 361?
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 232, 488, 748, 420, 361.
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}.