LCM of 514, 969, 323, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 969, 323, 591 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 514, 969, 323, 591. So, keep reading to learn more.
Given numbers are 514,969,323,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,969,323,591 is 98119002.
Find LCM of 514,969,323,591 with Prime Factorization
| 3 | 514, 969, 323, 591 |
| 17 | 514, 323, 323, 197 |
| 19 | 514, 19, 19, 197 |
| 514, 1, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 514 x 1 x 1 x 197 = 98119002
Therefore, the lowest common multiple of 514,969,323,591 is 98119002.
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.
514 x 969 x 323 x 591 = 95077312938
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.
514 : 1, 2, 257, 514
969 : 1, 3, 17, 19, 51, 57, 323, 969
323 : 1, 17, 19, 323
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,969,323,591, is 1.
Now, the common factors can be found like this.
514:2x 257
969:3x 17x 19
323:17x 19
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 95077312938/(1x969)
LCM = 95077312938/969
LCM = 98119002
Thus, we can understand that the LCM of 514,969,323,591 is 98119002.
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FAQs on LCM of 514, 969, 323, 591
1. What is the LCM of 514, 969, 323, 591?
Answer: LCM of 514, 969, 323, 591 is 98119002.
2. How to calculate the LCM of 514, 969, 323, 591?
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 514, 969, 323, 591.
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}.