LCM of 705, 764, 815, 857, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 764, 815, 857, 724 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 705, 764, 815, 857, 724. So, keep reading to learn more.
Given numbers are 705,764,815,857,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,764,815,857,724 is 13618506322020.
Find LCM of 705,764,815,857,724 with Prime Factorization
| 2 | 705, 764, 815, 857, 724 |
| 2 | 705, 382, 815, 857, 362 |
| 5 | 705, 191, 815, 857, 181 |
| 141, 191, 163, 857, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 141 x 191 x 163 x 857 x 181 = 13618506322020
Therefore, the lowest common multiple of 705,764,815,857,724 is 13618506322020.
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.
705 x 764 x 815 x 857 x 724 = 272370126440400
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
764 : 1, 2, 4, 191, 382, 764
815 : 1, 5, 163, 815
857 : 1, 857
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,764,815,857,724, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
764:2x 2x 191
815:5x 163
857:857
724:2x 2x 181
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 5 = 20
Therefore, the value for common factors is 20.
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 = 272370126440400/(1x20)
LCM = 272370126440400/20
LCM = 13618506322020
Thus, we can understand that the LCM of 705,764,815,857,724 is 13618506322020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 764, 815, 857, 724
1. What is the LCM of 705, 764, 815, 857, 724?
Answer: LCM of 705, 764, 815, 857, 724 is 13618506322020.
2. How to calculate the LCM of 705, 764, 815, 857, 724?
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 705, 764, 815, 857, 724.
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}.