LCM of 825, 303, 946, 982, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 303, 946, 982, 739 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, 303, 946, 982, 739. So, keep reading to learn more.
Given numbers are 825,303,946,982,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,303,946,982,739 is 2600157791550.
Find LCM of 825,303,946,982,739 with Prime Factorization
| 2 | 825, 303, 946, 982, 739 |
| 3 | 825, 303, 473, 491, 739 |
| 11 | 275, 101, 473, 491, 739 |
| 25, 101, 43, 491, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 25 x 101 x 43 x 491 x 739 = 2600157791550
Therefore, the lowest common multiple of 825,303,946,982,739 is 2600157791550.
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 303 x 946 x 982 x 739 = 171610414242300
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
303 : 1, 3, 101, 303
946 : 1, 2, 11, 22, 43, 86, 473, 946
982 : 1, 2, 491, 982
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,303,946,982,739, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
303:3x 101
946:2x 11x 43
982:2x 491
739:739
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 171610414242300/(1x66)
LCM = 171610414242300/66
LCM = 2600157791550
Thus, we can understand that the LCM of 825,303,946,982,739 is 2600157791550.
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FAQs on LCM of 825, 303, 946, 982, 739
1. What is the LCM of 825, 303, 946, 982, 739?
Answer: LCM of 825, 303, 946, 982, 739 is 2600157791550.
2. How to calculate the LCM of 825, 303, 946, 982, 739?
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, 303, 946, 982, 739.
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}.