LCM of 196, 699, 233, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 699, 233, 536 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 196, 699, 233, 536. So, keep reading to learn more.
Given numbers are 196,699,233,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,699,233,536 is 18358536.
Find LCM of 196,699,233,536 with Prime Factorization
| 2 | 196, 699, 233, 536 |
| 2 | 98, 699, 233, 268 |
| 233 | 49, 699, 233, 134 |
| 49, 3, 1, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 233 x 49 x 3 x 1 x 134 = 18358536
Therefore, the lowest common multiple of 196,699,233,536 is 18358536.
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.
196 x 699 x 233 x 536 = 17110155552
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
699 : 1, 3, 233, 699
233 : 1, 233
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,699,233,536, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
699:3x 233
233:233
536:2x 2x 2x 67
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 233 = 932
Therefore, the value for common factors is 932.
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 = 17110155552/(1x932)
LCM = 17110155552/932
LCM = 18358536
Thus, we can understand that the LCM of 196,699,233,536 is 18358536.
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FAQs on LCM of 196, 699, 233, 536
1. What is the LCM of 196, 699, 233, 536?
Answer: LCM of 196, 699, 233, 536 is 18358536.
2. How to calculate the LCM of 196, 699, 233, 536?
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 196, 699, 233, 536.
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}.