LCM of 699, 836, 529, 745, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 836, 529, 745, 529 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, 836, 529, 745, 529. So, keep reading to learn more.
Given numbers are 699,836,529,745,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,836,529,745,529 is 230300774220.
Find LCM of 699,836,529,745,529 with Prime Factorization
| 23 | 699, 836, 529, 745, 529 |
| 23 | 699, 836, 23, 745, 23 |
| 699, 836, 1, 745, 1 |
Multiply the prime numbers at the bottom and the left side.
23 x 23 x 699 x 836 x 1 x 745 x 1 = 230300774220
Therefore, the lowest common multiple of 699,836,529,745,529 is 230300774220.
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 836 x 529 x 745 x 529 = 121829109562380
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
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
529 : 1, 23, 529
745 : 1, 5, 149, 745
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,836,529,745,529, is 1.
Now, the common factors can be found like this.
699:3x 233
836:2x 2x 11x 19
529:23x 23
745:5x 149
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 121829109562380/(1x529)
LCM = 121829109562380/529
LCM = 230300774220
Thus, we can understand that the LCM of 699,836,529,745,529 is 230300774220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 836, 529, 745, 529
1. What is the LCM of 699, 836, 529, 745, 529?
Answer: LCM of 699, 836, 529, 745, 529 is 230300774220.
2. How to calculate the LCM of 699, 836, 529, 745, 529?
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, 836, 529, 745, 529.
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}.