LCM of 788, 656, 100, 861, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 656, 100, 861, 891 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 788, 656, 100, 861, 891. So, keep reading to learn more.
Given numbers are 788,656,100,861,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,656,100,861,891 is 20150499600.
Find LCM of 788,656,100,861,891 with Prime Factorization
| 2 | 788, 656, 100, 861, 891 |
| 2 | 394, 328, 50, 861, 891 |
| 3 | 197, 164, 25, 861, 891 |
| 41 | 197, 164, 25, 287, 297 |
| 197, 4, 25, 7, 297 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 197 x 4 x 25 x 7 x 297 = 20150499600
Therefore, the lowest common multiple of 788,656,100,861,891 is 20150499600.
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.
788 x 656 x 100 x 861 x 891 = 39656183212800
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.
788 : 1, 2, 4, 197, 394, 788
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
861 : 1, 3, 7, 21, 41, 123, 287, 861
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,656,100,861,891, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
656:2x 2x 2x 2x 41
100:2x 2x 5x 5
861:3x 7x 41
891:3x 3x 3x 3x 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 2x 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 39656183212800/(1x1968)
LCM = 39656183212800/1968
LCM = 20150499600
Thus, we can understand that the LCM of 788,656,100,861,891 is 20150499600.
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FAQs on LCM of 788, 656, 100, 861, 891
1. What is the LCM of 788, 656, 100, 861, 891?
Answer: LCM of 788, 656, 100, 861, 891 is 20150499600.
2. How to calculate the LCM of 788, 656, 100, 861, 891?
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 788, 656, 100, 861, 891.
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}.