LCM of 403, 396, 992, 956, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 396, 992, 956, 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 403, 396, 992, 956, 942. So, keep reading to learn more.
Given numbers are 403,396,992,956,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,396,992,956,942 is 47905764192.
Find LCM of 403,396,992,956,942 with Prime Factorization
| 2 | 403, 396, 992, 956, 942 |
| 2 | 403, 198, 496, 478, 471 |
| 3 | 403, 99, 248, 239, 471 |
| 31 | 403, 33, 248, 239, 157 |
| 13, 33, 8, 239, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 13 x 33 x 8 x 239 x 157 = 47905764192
Therefore, the lowest common multiple of 403,396,992,956,942 is 47905764192.
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.
403 x 396 x 992 x 956 x 942 = 142567554235392
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.
403 : 1, 13, 31, 403
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
956 : 1, 2, 4, 239, 478, 956
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 403,396,992,956,942, is 1.
Now, the common factors can be found like this.
403:13x 31
396:2x 2x 3x 3x 11
992:2x 2x 2x 2x 2x 31
956:2x 2x 239
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 2x 2x 2x 3x 31 = 2976
Therefore, the value for common factors is 2976.
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 = 142567554235392/(1x2976)
LCM = 142567554235392/2976
LCM = 47905764192
Thus, we can understand that the LCM of 403,396,992,956,942 is 47905764192.
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FAQs on LCM of 403, 396, 992, 956, 942
1. What is the LCM of 403, 396, 992, 956, 942?
Answer: LCM of 403, 396, 992, 956, 942 is 47905764192.
2. How to calculate the LCM of 403, 396, 992, 956, 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 403, 396, 992, 956, 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}.