LCM of 839, 574, 697, 476, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 574, 697, 476, 225 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 839, 574, 697, 476, 225. So, keep reading to learn more.
Given numbers are 839,574,697,476,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,574,697,476,225 is 3684132900.
Find LCM of 839,574,697,476,225 with Prime Factorization
| 2 | 839, 574, 697, 476, 225 |
| 7 | 839, 287, 697, 238, 225 |
| 17 | 839, 41, 697, 34, 225 |
| 41 | 839, 41, 41, 2, 225 |
| 839, 1, 1, 2, 225 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 41 x 839 x 1 x 1 x 2 x 225 = 3684132900
Therefore, the lowest common multiple of 839,574,697,476,225 is 3684132900.
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.
839 x 574 x 697 x 476 x 225 = 35949768838200
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.
839 : 1, 839
574 : 1, 2, 7, 14, 41, 82, 287, 574
697 : 1, 17, 41, 697
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,574,697,476,225, is 1.
Now, the common factors can be found like this.
839:839
574:2x 7x 41
697:17x 41
476:2x 2x 7x 17
225:3x 3x 5x 5
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 17x 41 = 9758
Therefore, the value for common factors is 9758.
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 = 35949768838200/(1x9758)
LCM = 35949768838200/9758
LCM = 3684132900
Thus, we can understand that the LCM of 839,574,697,476,225 is 3684132900.
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FAQs on LCM of 839, 574, 697, 476, 225
1. What is the LCM of 839, 574, 697, 476, 225?
Answer: LCM of 839, 574, 697, 476, 225 is 3684132900.
2. How to calculate the LCM of 839, 574, 697, 476, 225?
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 839, 574, 697, 476, 225.
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}.