LCM of 227, 681, 473, 825, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 681, 473, 825, 602 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 227, 681, 473, 825, 602. So, keep reading to learn more.
Given numbers are 227,681,473,825,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,681,473,825,602 is 112739550.
Find LCM of 227,681,473,825,602 with Prime Factorization
| 3 | 227, 681, 473, 825, 602 |
| 11 | 227, 227, 473, 275, 602 |
| 43 | 227, 227, 43, 25, 602 |
| 227 | 227, 227, 1, 25, 14 |
| 1, 1, 1, 25, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 43 x 227 x 1 x 1 x 1 x 25 x 14 = 112739550
Therefore, the lowest common multiple of 227,681,473,825,602 is 112739550.
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.
227 x 681 x 473 x 825 x 602 = 36314874669150
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.
227 : 1, 227
681 : 1, 3, 227, 681
473 : 1, 11, 43, 473
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,681,473,825,602, is 1.
Now, the common factors can be found like this.
227:227
681:3x 227
473:11x 43
825:3x 5x 5x 11
602:2x 7x 43
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 43x 227 = 322113
Therefore, the value for common factors is 322113.
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 = 36314874669150/(1x322113)
LCM = 36314874669150/322113
LCM = 112739550
Thus, we can understand that the LCM of 227,681,473,825,602 is 112739550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 681, 473, 825, 602
1. What is the LCM of 227, 681, 473, 825, 602?
Answer: LCM of 227, 681, 473, 825, 602 is 112739550.
2. How to calculate the LCM of 227, 681, 473, 825, 602?
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 227, 681, 473, 825, 602.
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}.