LCM of 312, 461, 916, 981, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 461, 916, 981, 936 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 312, 461, 916, 981, 936. So, keep reading to learn more.
Given numbers are 312,461,916,981,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,461,916,981,936 is 10770571656.
Find LCM of 312,461,916,981,936 with Prime Factorization
| 2 | 312, 461, 916, 981, 936 |
| 2 | 156, 461, 458, 981, 468 |
| 2 | 78, 461, 229, 981, 234 |
| 3 | 39, 461, 229, 981, 117 |
| 3 | 13, 461, 229, 327, 39 |
| 13 | 13, 461, 229, 109, 13 |
| 1, 461, 229, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 1 x 461 x 229 x 109 x 1 = 10770571656
Therefore, the lowest common multiple of 312,461,916,981,936 is 10770571656.
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.
312 x 461 x 916 x 981 x 936 = 120975060840192
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
461 : 1, 461
916 : 1, 2, 4, 229, 458, 916
981 : 1, 3, 9, 109, 327, 981
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,461,916,981,936, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
461:461
916:2x 2x 229
981:3x 3x 109
936:2x 2x 2x 3x 3x 13
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 3x 3x 13 = 11232
Therefore, the value for common factors is 11232.
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 = 120975060840192/(1x11232)
LCM = 120975060840192/11232
LCM = 10770571656
Thus, we can understand that the LCM of 312,461,916,981,936 is 10770571656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 461, 916, 981, 936
1. What is the LCM of 312, 461, 916, 981, 936?
Answer: LCM of 312, 461, 916, 981, 936 is 10770571656.
2. How to calculate the LCM of 312, 461, 916, 981, 936?
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 312, 461, 916, 981, 936.
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}.