LCM of 725, 841, 620, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 841, 620, 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 725, 841, 620, 713. So, keep reading to learn more.
Given numbers are 725,841,620,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,841,620,713 is 59963300.
Find LCM of 725,841,620,713 with Prime Factorization
| 5 | 725, 841, 620, 713 |
| 29 | 145, 841, 124, 713 |
| 31 | 5, 29, 124, 713 |
| 5, 29, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 31 x 5 x 29 x 4 x 23 = 59963300
Therefore, the lowest common multiple of 725,841,620,713 is 59963300.
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.
725 x 841 x 620 x 713 = 269535033500
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.
725 : 1, 5, 25, 29, 145, 725
841 : 1, 29, 841
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,841,620,713, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
841:29x 29
620:2x 2x 5x 31
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.
5x 29x 31 = 4495
Therefore, the value for common factors is 4495.
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 = 269535033500/(1x4495)
LCM = 269535033500/4495
LCM = 59963300
Thus, we can understand that the LCM of 725,841,620,713 is 59963300.
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FAQs on LCM of 725, 841, 620, 713
1. What is the LCM of 725, 841, 620, 713?
Answer: LCM of 725, 841, 620, 713 is 59963300.
2. How to calculate the LCM of 725, 841, 620, 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 725, 841, 620, 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}.