LCM of 572, 827, 319, 824, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 827, 319, 824, 285 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 572, 827, 319, 824, 285. So, keep reading to learn more.
Given numbers are 572,827,319,824,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,827,319,824,285 is 805399983960.
Find LCM of 572,827,319,824,285 with Prime Factorization
| 2 | 572, 827, 319, 824, 285 |
| 2 | 286, 827, 319, 412, 285 |
| 11 | 143, 827, 319, 206, 285 |
| 13, 827, 29, 206, 285 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 827 x 29 x 206 x 285 = 805399983960
Therefore, the lowest common multiple of 572,827,319,824,285 is 805399983960.
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.
572 x 827 x 319 x 824 x 285 = 35437599294240
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
827 : 1, 827
319 : 1, 11, 29, 319
824 : 1, 2, 4, 8, 103, 206, 412, 824
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,827,319,824,285, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
827:827
319:11x 29
824:2x 2x 2x 103
285:3x 5x 19
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 11 = 44
Therefore, the value for common factors is 44.
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 = 35437599294240/(1x44)
LCM = 35437599294240/44
LCM = 805399983960
Thus, we can understand that the LCM of 572,827,319,824,285 is 805399983960.
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FAQs on LCM of 572, 827, 319, 824, 285
1. What is the LCM of 572, 827, 319, 824, 285?
Answer: LCM of 572, 827, 319, 824, 285 is 805399983960.
2. How to calculate the LCM of 572, 827, 319, 824, 285?
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 572, 827, 319, 824, 285.
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}.