LCM of 892, 218, 617, 981, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 218, 617, 981, 672 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 892, 218, 617, 981, 672. So, keep reading to learn more.
Given numbers are 892,218,617,981,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,218,617,981,672 is 30234796704.
Find LCM of 892,218,617,981,672 with Prime Factorization
| 2 | 892, 218, 617, 981, 672 |
| 2 | 446, 109, 617, 981, 336 |
| 3 | 223, 109, 617, 981, 168 |
| 109 | 223, 109, 617, 327, 56 |
| 223, 1, 617, 3, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 223 x 1 x 617 x 3 x 56 = 30234796704
Therefore, the lowest common multiple of 892,218,617,981,672 is 30234796704.
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.
892 x 218 x 617 x 981 x 672 = 79094228177664
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.
892 : 1, 2, 4, 223, 446, 892
218 : 1, 2, 109, 218
617 : 1, 617
981 : 1, 3, 9, 109, 327, 981
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,218,617,981,672, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
218:2x 109
617:617
981:3x 3x 109
672:2x 2x 2x 2x 2x 3x 7
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 3x 109 = 2616
Therefore, the value for common factors is 2616.
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 = 79094228177664/(1x2616)
LCM = 79094228177664/2616
LCM = 30234796704
Thus, we can understand that the LCM of 892,218,617,981,672 is 30234796704.
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FAQs on LCM of 892, 218, 617, 981, 672
1. What is the LCM of 892, 218, 617, 981, 672?
Answer: LCM of 892, 218, 617, 981, 672 is 30234796704.
2. How to calculate the LCM of 892, 218, 617, 981, 672?
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 892, 218, 617, 981, 672.
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}.