LCM of 873, 981, 949, 429, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 981, 949, 429, 713 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 873, 981, 949, 429, 713. So, keep reading to learn more.
Given numbers are 873,981,949,429,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,981,949,429,713 is 708254217099.
Find LCM of 873,981,949,429,713 with Prime Factorization
| 3 | 873, 981, 949, 429, 713 |
| 3 | 291, 327, 949, 143, 713 |
| 13 | 97, 109, 949, 143, 713 |
| 97, 109, 73, 11, 713 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 97 x 109 x 73 x 11 x 713 = 708254217099
Therefore, the lowest common multiple of 873,981,949,429,713 is 708254217099.
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.
873 x 981 x 949 x 429 x 713 = 248597230201749
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.
873 : 1, 3, 9, 97, 291, 873
981 : 1, 3, 9, 109, 327, 981
949 : 1, 13, 73, 949
429 : 1, 3, 11, 13, 33, 39, 143, 429
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,981,949,429,713, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
981:3x 3x 109
949:13x 73
429:3x 11x 13
713:23x 31
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 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 248597230201749/(1x351)
LCM = 248597230201749/351
LCM = 708254217099
Thus, we can understand that the LCM of 873,981,949,429,713 is 708254217099.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 873, 981, 949, 429, 713
1. What is the LCM of 873, 981, 949, 429, 713?
Answer: LCM of 873, 981, 949, 429, 713 is 708254217099.
2. How to calculate the LCM of 873, 981, 949, 429, 713?
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 873, 981, 949, 429, 713.
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}.