LCM of 699, 233, 435, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 233, 435, 174 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 699, 233, 435, 174. So, keep reading to learn more.
Given numbers are 699,233,435,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,233,435,174 is 202710.
Find LCM of 699,233,435,174 with Prime Factorization
| 3 | 699, 233, 435, 174 |
| 29 | 233, 233, 145, 58 |
| 233 | 233, 233, 5, 2 |
| 1, 1, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 233 x 1 x 1 x 5 x 2 = 202710
Therefore, the lowest common multiple of 699,233,435,174 is 202710.
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.
699 x 233 x 435 x 174 = 12327403230
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.
699 : 1, 3, 233, 699
233 : 1, 233
435 : 1, 3, 5, 15, 29, 87, 145, 435
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,233,435,174, is 1.
Now, the common factors can be found like this.
699:3x 233
233:233
435:3x 5x 29
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29x 233 = 60813
Therefore, the value for common factors is 60813.
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 = 12327403230/(1x60813)
LCM = 12327403230/60813
LCM = 202710
Thus, we can understand that the LCM of 699,233,435,174 is 202710.
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FAQs on LCM of 699, 233, 435, 174
1. What is the LCM of 699, 233, 435, 174?
Answer: LCM of 699, 233, 435, 174 is 202710.
2. How to calculate the LCM of 699, 233, 435, 174?
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 699, 233, 435, 174.
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}.