LCM of 565, 824, 517, 538, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 824, 517, 538, 319 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 565, 824, 517, 538, 319. So, keep reading to learn more.
Given numbers are 565,824,517,538,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,824,517,538,319 is 1877657950520.
Find LCM of 565,824,517,538,319 with Prime Factorization
| 2 | 565, 824, 517, 538, 319 |
| 11 | 565, 412, 517, 269, 319 |
| 565, 412, 47, 269, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 565 x 412 x 47 x 269 x 29 = 1877657950520
Therefore, the lowest common multiple of 565,824,517,538,319 is 1877657950520.
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.
565 x 824 x 517 x 538 x 319 = 41308474911440
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.
565 : 1, 5, 113, 565
824 : 1, 2, 4, 8, 103, 206, 412, 824
517 : 1, 11, 47, 517
538 : 1, 2, 269, 538
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,824,517,538,319, is 1.
Now, the common factors can be found like this.
565:5x 113
824:2x 2x 2x 103
517:11x 47
538:2x 269
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 41308474911440/(1x22)
LCM = 41308474911440/22
LCM = 1877657950520
Thus, we can understand that the LCM of 565,824,517,538,319 is 1877657950520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 824, 517, 538, 319
1. What is the LCM of 565, 824, 517, 538, 319?
Answer: LCM of 565, 824, 517, 538, 319 is 1877657950520.
2. How to calculate the LCM of 565, 824, 517, 538, 319?
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 565, 824, 517, 538, 319.
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}.