LCM of 461, 438, 949, 936, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 438, 949, 936, 991 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 461, 438, 949, 936, 991. So, keep reading to learn more.
Given numbers are 461,438,949,936,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,438,949,936,991 is 31215715128.
Find LCM of 461,438,949,936,991 with Prime Factorization
| 2 | 461, 438, 949, 936, 991 |
| 3 | 461, 219, 949, 468, 991 |
| 13 | 461, 73, 949, 156, 991 |
| 73 | 461, 73, 73, 12, 991 |
| 461, 1, 1, 12, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 73 x 461 x 1 x 1 x 12 x 991 = 31215715128
Therefore, the lowest common multiple of 461,438,949,936,991 is 31215715128.
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.
461 x 438 x 949 x 936 x 991 = 177742281938832
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.
461 : 1, 461
438 : 1, 2, 3, 6, 73, 146, 219, 438
949 : 1, 13, 73, 949
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
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,438,949,936,991, is 1.
Now, the common factors can be found like this.
461:461
438:2x 3x 73
949:13x 73
936:2x 2x 2x 3x 3x 13
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 73 = 5694
Therefore, the value for common factors is 5694.
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 = 177742281938832/(1x5694)
LCM = 177742281938832/5694
LCM = 31215715128
Thus, we can understand that the LCM of 461,438,949,936,991 is 31215715128.
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FAQs on LCM of 461, 438, 949, 936, 991
1. What is the LCM of 461, 438, 949, 936, 991?
Answer: LCM of 461, 438, 949, 936, 991 is 31215715128.
2. How to calculate the LCM of 461, 438, 949, 936, 991?
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 461, 438, 949, 936, 991.
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}.