LCM of 725, 138, 880, 695, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 138, 880, 695, 242 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, 138, 880, 695, 242. So, keep reading to learn more.
Given numbers are 725,138,880,695,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,138,880,695,242 is 13461927600.
Find LCM of 725,138,880,695,242 with Prime Factorization
| 2 | 725, 138, 880, 695, 242 |
| 5 | 725, 69, 440, 695, 121 |
| 11 | 145, 69, 88, 139, 121 |
| 145, 69, 8, 139, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 145 x 69 x 8 x 139 x 11 = 13461927600
Therefore, the lowest common multiple of 725,138,880,695,242 is 13461927600.
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 138 x 880 x 695 x 242 = 14808120360000
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
695 : 1, 5, 139, 695
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,138,880,695,242, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
138:2x 3x 23
880:2x 2x 2x 2x 5x 11
695:5x 139
242:2x 11x 11
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 14808120360000/(1x1100)
LCM = 14808120360000/1100
LCM = 13461927600
Thus, we can understand that the LCM of 725,138,880,695,242 is 13461927600.
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FAQs on LCM of 725, 138, 880, 695, 242
1. What is the LCM of 725, 138, 880, 695, 242?
Answer: LCM of 725, 138, 880, 695, 242 is 13461927600.
2. How to calculate the LCM of 725, 138, 880, 695, 242?
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, 138, 880, 695, 242.
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}.