LCM of 225, 922, 136, 748, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 922, 136, 748, 889 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 225, 922, 136, 748, 889. So, keep reading to learn more.
Given numbers are 225,922,136,748,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,922,136,748,889 is 137948441400.
Find LCM of 225,922,136,748,889 with Prime Factorization
| 2 | 225, 922, 136, 748, 889 |
| 2 | 225, 461, 68, 374, 889 |
| 17 | 225, 461, 34, 187, 889 |
| 225, 461, 2, 11, 889 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 225 x 461 x 2 x 11 x 889 = 137948441400
Therefore, the lowest common multiple of 225,922,136,748,889 is 137948441400.
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.
225 x 922 x 136 x 748 x 889 = 18760988030400
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
922 : 1, 2, 461, 922
136 : 1, 2, 4, 8, 17, 34, 68, 136
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,922,136,748,889, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
922:2x 461
136:2x 2x 2x 17
748:2x 2x 11x 17
889:7x 127
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 2x 17 = 136
Therefore, the value for common factors is 136.
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 = 18760988030400/(1x136)
LCM = 18760988030400/136
LCM = 137948441400
Thus, we can understand that the LCM of 225,922,136,748,889 is 137948441400.
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FAQs on LCM of 225, 922, 136, 748, 889
1. What is the LCM of 225, 922, 136, 748, 889?
Answer: LCM of 225, 922, 136, 748, 889 is 137948441400.
2. How to calculate the LCM of 225, 922, 136, 748, 889?
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 225, 922, 136, 748, 889.
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}.