LCM of 123, 524, 252, 192, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 524, 252, 192, 742 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 123, 524, 252, 192, 742. So, keep reading to learn more.
Given numbers are 123,524,252,192,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,524,252,192,742 is 1147761216.
Find LCM of 123,524,252,192,742 with Prime Factorization
| 2 | 123, 524, 252, 192, 742 |
| 2 | 123, 262, 126, 96, 371 |
| 3 | 123, 131, 63, 48, 371 |
| 7 | 41, 131, 21, 16, 371 |
| 41, 131, 3, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 131 x 3 x 16 x 53 = 1147761216
Therefore, the lowest common multiple of 123,524,252,192,742 is 1147761216.
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.
123 x 524 x 252 x 192 x 742 = 2313886611456
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.
123 : 1, 3, 41, 123
524 : 1, 2, 4, 131, 262, 524
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,524,252,192,742, is 1.
Now, the common factors can be found like this.
123:3x 41
524:2x 2x 131
252:2x 2x 3x 3x 7
192:2x 2x 2x 2x 2x 2x 3
742:2x 7x 53
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 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 2313886611456/(1x2016)
LCM = 2313886611456/2016
LCM = 1147761216
Thus, we can understand that the LCM of 123,524,252,192,742 is 1147761216.
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FAQs on LCM of 123, 524, 252, 192, 742
1. What is the LCM of 123, 524, 252, 192, 742?
Answer: LCM of 123, 524, 252, 192, 742 is 1147761216.
2. How to calculate the LCM of 123, 524, 252, 192, 742?
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 123, 524, 252, 192, 742.
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}.