LCM of 591, 924, 501, 596, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 924, 501, 596, 985 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, 924, 501, 596, 985. So, keep reading to learn more.
Given numbers are 591,924,501,596,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,924,501,596,985 is 22647013620.
Find LCM of 591,924,501,596,985 with Prime Factorization
| 2 | 591, 924, 501, 596, 985 |
| 2 | 591, 462, 501, 298, 985 |
| 3 | 591, 231, 501, 149, 985 |
| 197 | 197, 77, 167, 149, 985 |
| 1, 77, 167, 149, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 197 x 1 x 77 x 167 x 149 x 5 = 22647013620
Therefore, the lowest common multiple of 591,924,501,596,985 is 22647013620.
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 924 x 501 x 596 x 985 = 160612620593040
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
501 : 1, 3, 167, 501
596 : 1, 2, 4, 149, 298, 596
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,924,501,596,985, is 1.
Now, the common factors can be found like this.
591:3x 197
924:2x 2x 3x 7x 11
501:3x 167
596:2x 2x 149
985:5x 197
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 197 = 7092
Therefore, the value for common factors is 7092.
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 = 160612620593040/(1x7092)
LCM = 160612620593040/7092
LCM = 22647013620
Thus, we can understand that the LCM of 591,924,501,596,985 is 22647013620.
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FAQs on LCM of 591, 924, 501, 596, 985
1. What is the LCM of 591, 924, 501, 596, 985?
Answer: LCM of 591, 924, 501, 596, 985 is 22647013620.
2. How to calculate the LCM of 591, 924, 501, 596, 985?
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, 924, 501, 596, 985.
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}.