LCM of 894, 361, 910, 198, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 361, 910, 198, 931 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 894, 361, 910, 198, 931. So, keep reading to learn more.
Given numbers are 894,361,910,198,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,361,910,198,931 is 33920957070.
Find LCM of 894,361,910,198,931 with Prime Factorization
| 2 | 894, 361, 910, 198, 931 |
| 3 | 447, 361, 455, 99, 931 |
| 7 | 149, 361, 455, 33, 931 |
| 19 | 149, 361, 65, 33, 133 |
| 149, 19, 65, 33, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 149 x 19 x 65 x 33 x 7 = 33920957070
Therefore, the lowest common multiple of 894,361,910,198,931 is 33920957070.
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.
894 x 361 x 910 x 198 x 931 = 54137847483720
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
361 : 1, 19, 361
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,361,910,198,931, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
361:19x 19
910:2x 5x 7x 13
198:2x 3x 3x 11
931:7x 7x 19
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 3x 7x 19 = 1596
Therefore, the value for common factors is 1596.
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 = 54137847483720/(1x1596)
LCM = 54137847483720/1596
LCM = 33920957070
Thus, we can understand that the LCM of 894,361,910,198,931 is 33920957070.
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FAQs on LCM of 894, 361, 910, 198, 931
1. What is the LCM of 894, 361, 910, 198, 931?
Answer: LCM of 894, 361, 910, 198, 931 is 33920957070.
2. How to calculate the LCM of 894, 361, 910, 198, 931?
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 894, 361, 910, 198, 931.
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}.