LCM of 910, 633, 756, 199, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 633, 756, 199, 942 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 910, 633, 756, 199, 942. So, keep reading to learn more.
Given numbers are 910,633,756,199,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,633,756,199,942 is 323944295220.
Find LCM of 910,633,756,199,942 with Prime Factorization
| 2 | 910, 633, 756, 199, 942 |
| 3 | 455, 633, 378, 199, 471 |
| 7 | 455, 211, 126, 199, 157 |
| 65, 211, 18, 199, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 65 x 211 x 18 x 199 x 157 = 323944295220
Therefore, the lowest common multiple of 910,633,756,199,942 is 323944295220.
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.
910 x 633 x 756 x 199 x 942 = 81633962395440
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
633 : 1, 3, 211, 633
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
199 : 1, 199
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,633,756,199,942, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
633:3x 211
756:2x 2x 3x 3x 3x 7
199:199
942:2x 3x 157
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 81633962395440/(1x252)
LCM = 81633962395440/252
LCM = 323944295220
Thus, we can understand that the LCM of 910,633,756,199,942 is 323944295220.
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FAQs on LCM of 910, 633, 756, 199, 942
1. What is the LCM of 910, 633, 756, 199, 942?
Answer: LCM of 910, 633, 756, 199, 942 is 323944295220.
2. How to calculate the LCM of 910, 633, 756, 199, 942?
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 910, 633, 756, 199, 942.
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}.