LCM of 611, 908, 816, 188, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 908, 816, 188, 554 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 611, 908, 816, 188, 554. So, keep reading to learn more.
Given numbers are 611,908,816,188,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,908,816,188,554 is 31349960304.
Find LCM of 611,908,816,188,554 with Prime Factorization
| 2 | 611, 908, 816, 188, 554 |
| 2 | 611, 454, 408, 94, 277 |
| 47 | 611, 227, 204, 47, 277 |
| 13, 227, 204, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 13 x 227 x 204 x 1 x 277 = 31349960304
Therefore, the lowest common multiple of 611,908,816,188,554 is 31349960304.
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.
611 x 908 x 816 x 188 x 554 = 47150340297216
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.
611 : 1, 13, 47, 611
908 : 1, 2, 4, 227, 454, 908
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
188 : 1, 2, 4, 47, 94, 188
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,908,816,188,554, is 1.
Now, the common factors can be found like this.
611:13x 47
908:2x 2x 227
816:2x 2x 2x 2x 3x 17
188:2x 2x 47
554:2x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 47 = 1504
Therefore, the value for common factors is 1504.
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 = 47150340297216/(1x1504)
LCM = 47150340297216/1504
LCM = 31349960304
Thus, we can understand that the LCM of 611,908,816,188,554 is 31349960304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 908, 816, 188, 554
1. What is the LCM of 611, 908, 816, 188, 554?
Answer: LCM of 611, 908, 816, 188, 554 is 31349960304.
2. How to calculate the LCM of 611, 908, 816, 188, 554?
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 611, 908, 816, 188, 554.
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}.