LCM of 713, 899, 440, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 899, 440, 985 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 713, 899, 440, 985. So, keep reading to learn more.
Given numbers are 713,899,440,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,899,440,985 is 1792282360.
Find LCM of 713,899,440,985 with Prime Factorization
| 5 | 713, 899, 440, 985 |
| 31 | 713, 899, 88, 197 |
| 23, 29, 88, 197 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 23 x 29 x 88 x 197 = 1792282360
Therefore, the lowest common multiple of 713,899,440,985 is 1792282360.
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.
713 x 899 x 440 x 985 = 277803765800
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.
713 : 1, 23, 31, 713
899 : 1, 29, 31, 899
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,899,440,985, is 1.
Now, the common factors can be found like this.
713:23x 31
899:29x 31
440:2x 2x 2x 5x 11
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 31 = 155
Therefore, the value for common factors is 155.
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 = 277803765800/(1x155)
LCM = 277803765800/155
LCM = 1792282360
Thus, we can understand that the LCM of 713,899,440,985 is 1792282360.
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FAQs on LCM of 713, 899, 440, 985
1. What is the LCM of 713, 899, 440, 985?
Answer: LCM of 713, 899, 440, 985 is 1792282360.
2. How to calculate the LCM of 713, 899, 440, 985?
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 713, 899, 440, 985.
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}.