LCM of 227, 594, 253, 391, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 594, 253, 391, 920 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, 594, 253, 391, 920. So, keep reading to learn more.
Given numbers are 227,594,253,391,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,594,253,391,920 is 1054433160.
Find LCM of 227,594,253,391,920 with Prime Factorization
| 2 | 227, 594, 253, 391, 920 |
| 11 | 227, 297, 253, 391, 460 |
| 23 | 227, 27, 23, 391, 460 |
| 227, 27, 1, 17, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 227 x 27 x 1 x 17 x 20 = 1054433160
Therefore, the lowest common multiple of 227,594,253,391,920 is 1054433160.
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 594 x 253 x 391 x 920 = 12271493116080
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
253 : 1, 11, 23, 253
391 : 1, 17, 23, 391
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,594,253,391,920, is 1.
Now, the common factors can be found like this.
227:227
594:2x 3x 3x 3x 11
253:11x 23
391:17x 23
920:2x 2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23x 23 = 11638
Therefore, the value for common factors is 11638.
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 = 12271493116080/(1x11638)
LCM = 12271493116080/11638
LCM = 1054433160
Thus, we can understand that the LCM of 227,594,253,391,920 is 1054433160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 594, 253, 391, 920
1. What is the LCM of 227, 594, 253, 391, 920?
Answer: LCM of 227, 594, 253, 391, 920 is 1054433160.
2. How to calculate the LCM of 227, 594, 253, 391, 920?
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, 594, 253, 391, 920.
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}.