LCM of 596, 100, 551, 232
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 100, 551, 232 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 596, 100, 551, 232. So, keep reading to learn more.
Given numbers are 596,100,551,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,100,551,232 is 16419800.
Find LCM of 596,100,551,232 with Prime Factorization
| 2 | 596, 100, 551, 232 |
| 2 | 298, 50, 551, 116 |
| 29 | 149, 25, 551, 58 |
| 149, 25, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 149 x 25 x 19 x 2 = 16419800
Therefore, the lowest common multiple of 596,100,551,232 is 16419800.
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.
596 x 100 x 551 x 232 = 7618787200
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.
596 : 1, 2, 4, 149, 298, 596
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
551 : 1, 19, 29, 551
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,100,551,232, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
100:2x 2x 5x 5
551:19x 29
232:2x 2x 2x 29
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 29 = 464
Therefore, the value for common factors is 464.
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 = 7618787200/(1x464)
LCM = 7618787200/464
LCM = 16419800
Thus, we can understand that the LCM of 596,100,551,232 is 16419800.
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FAQs on LCM of 596, 100, 551, 232
1. What is the LCM of 596, 100, 551, 232?
Answer: LCM of 596, 100, 551, 232 is 16419800.
2. How to calculate the LCM of 596, 100, 551, 232?
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 596, 100, 551, 232.
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}.