LCM of 591, 141, 437, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 141, 437, 969 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 591, 141, 437, 969. So, keep reading to learn more.
Given numbers are 591,141,437,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,141,437,969 is 206355333.
Find LCM of 591,141,437,969 with Prime Factorization
| 3 | 591, 141, 437, 969 |
| 19 | 197, 47, 437, 323 |
| 197, 47, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 197 x 47 x 23 x 17 = 206355333
Therefore, the lowest common multiple of 591,141,437,969 is 206355333.
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.
591 x 141 x 437 x 969 = 35286761943
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.
591 : 1, 3, 197, 591
141 : 1, 3, 47, 141
437 : 1, 19, 23, 437
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,141,437,969, is 1.
Now, the common factors can be found like this.
591:3x 197
141:3x 47
437:19x 23
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 35286761943/(1x171)
LCM = 35286761943/171
LCM = 206355333
Thus, we can understand that the LCM of 591,141,437,969 is 206355333.
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FAQs on LCM of 591, 141, 437, 969
1. What is the LCM of 591, 141, 437, 969?
Answer: LCM of 591, 141, 437, 969 is 206355333.
2. How to calculate the LCM of 591, 141, 437, 969?
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 591, 141, 437, 969.
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}.