LCM of 825, 209, 274, 927, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 209, 274, 927, 959 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 825, 209, 274, 927, 959. So, keep reading to learn more.
Given numbers are 825,209,274,927,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,209,274,927,959 is 9289976850.
Find LCM of 825,209,274,927,959 with Prime Factorization
| 3 | 825, 209, 274, 927, 959 |
| 11 | 275, 209, 274, 309, 959 |
| 137 | 25, 19, 274, 309, 959 |
| 25, 19, 2, 309, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 137 x 25 x 19 x 2 x 309 x 7 = 9289976850
Therefore, the lowest common multiple of 825,209,274,927,959 is 9289976850.
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.
825 x 209 x 274 x 927 x 959 = 41999985338850
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
209 : 1, 11, 19, 209
274 : 1, 2, 137, 274
927 : 1, 3, 9, 103, 309, 927
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,209,274,927,959, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
209:11x 19
274:2x 137
927:3x 3x 103
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 137 = 4521
Therefore, the value for common factors is 4521.
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 = 41999985338850/(1x4521)
LCM = 41999985338850/4521
LCM = 9289976850
Thus, we can understand that the LCM of 825,209,274,927,959 is 9289976850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 209, 274, 927, 959
1. What is the LCM of 825, 209, 274, 927, 959?
Answer: LCM of 825, 209, 274, 927, 959 is 9289976850.
2. How to calculate the LCM of 825, 209, 274, 927, 959?
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 825, 209, 274, 927, 959.
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}.