LCM of 209, 317, 532, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 317, 532, 882 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 209, 317, 532, 882. So, keep reading to learn more.
Given numbers are 209,317,532,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,317,532,882 is 116870292.
Find LCM of 209,317,532,882 with Prime Factorization
| 2 | 209, 317, 532, 882 |
| 7 | 209, 317, 266, 441 |
| 19 | 209, 317, 38, 63 |
| 11, 317, 2, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 11 x 317 x 2 x 63 = 116870292
Therefore, the lowest common multiple of 209,317,532,882 is 116870292.
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.
209 x 317 x 532 x 882 = 31087497672
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.
209 : 1, 11, 19, 209
317 : 1, 317
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,317,532,882, is 1.
Now, the common factors can be found like this.
209:11x 19
317:317
532:2x 2x 7x 19
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 31087497672/(1x266)
LCM = 31087497672/266
LCM = 116870292
Thus, we can understand that the LCM of 209,317,532,882 is 116870292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 317, 532, 882
1. What is the LCM of 209, 317, 532, 882?
Answer: LCM of 209, 317, 532, 882 is 116870292.
2. How to calculate the LCM of 209, 317, 532, 882?
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 209, 317, 532, 882.
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}.