LCM of 592, 475, 965, 721, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 475, 965, 721, 721 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 592, 475, 965, 721, 721. So, keep reading to learn more.
Given numbers are 592,475,965,721,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,475,965,721,721 is 39129823600.
Find LCM of 592,475,965,721,721 with Prime Factorization
| 5 | 592, 475, 965, 721, 721 |
| 7 | 592, 95, 193, 721, 721 |
| 103 | 592, 95, 193, 103, 103 |
| 592, 95, 193, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 103 x 592 x 95 x 193 x 1 x 1 = 39129823600
Therefore, the lowest common multiple of 592,475,965,721,721 is 39129823600.
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.
592 x 475 x 965 x 721 x 721 = 141063014078000
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
475 : 1, 5, 19, 25, 95, 475
965 : 1, 5, 193, 965
721 : 1, 7, 103, 721
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,475,965,721,721, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
475:5x 5x 19
965:5x 193
721:7x 103
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 103 = 3605
Therefore, the value for common factors is 3605.
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 = 141063014078000/(1x3605)
LCM = 141063014078000/3605
LCM = 39129823600
Thus, we can understand that the LCM of 592,475,965,721,721 is 39129823600.
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FAQs on LCM of 592, 475, 965, 721, 721
1. What is the LCM of 592, 475, 965, 721, 721?
Answer: LCM of 592, 475, 965, 721, 721 is 39129823600.
2. How to calculate the LCM of 592, 475, 965, 721, 721?
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 592, 475, 965, 721, 721.
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}.