LCM of 927, 996, 780, 894, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 996, 780, 894, 634 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 927, 996, 780, 894, 634. So, keep reading to learn more.
Given numbers are 927,996,780,894,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,996,780,894,634 is 944880105780.
Find LCM of 927,996,780,894,634 with Prime Factorization
| 2 | 927, 996, 780, 894, 634 |
| 2 | 927, 498, 390, 447, 317 |
| 3 | 927, 249, 195, 447, 317 |
| 309, 83, 65, 149, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 309 x 83 x 65 x 149 x 317 = 944880105780
Therefore, the lowest common multiple of 927,996,780,894,634 is 944880105780.
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.
927 x 996 x 780 x 894 x 634 = 408188205696960
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.
927 : 1, 3, 9, 103, 309, 927
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
894 : 1, 2, 3, 6, 149, 298, 447, 894
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,996,780,894,634, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
996:2x 2x 3x 83
780:2x 2x 3x 5x 13
894:2x 3x 149
634:2x 317
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 408188205696960/(1x432)
LCM = 408188205696960/432
LCM = 944880105780
Thus, we can understand that the LCM of 927,996,780,894,634 is 944880105780.
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FAQs on LCM of 927, 996, 780, 894, 634
1. What is the LCM of 927, 996, 780, 894, 634?
Answer: LCM of 927, 996, 780, 894, 634 is 944880105780.
2. How to calculate the LCM of 927, 996, 780, 894, 634?
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 927, 996, 780, 894, 634.
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}.