LCM of 190, 756, 565, 802, 244
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 756, 565, 802, 244 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 190, 756, 565, 802, 244. So, keep reading to learn more.
Given numbers are 190,756,565,802,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,756,565,802,244 is 198517159260.
Find LCM of 190,756,565,802,244 with Prime Factorization
| 2 | 190, 756, 565, 802, 244 |
| 2 | 95, 378, 565, 401, 122 |
| 5 | 95, 189, 565, 401, 61 |
| 19, 189, 113, 401, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 189 x 113 x 401 x 61 = 198517159260
Therefore, the lowest common multiple of 190,756,565,802,244 is 198517159260.
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.
190 x 756 x 565 x 802 x 244 = 15881372740800
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
565 : 1, 5, 113, 565
802 : 1, 2, 401, 802
244 : 1, 2, 4, 61, 122, 244
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,756,565,802,244, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
756:2x 2x 3x 3x 3x 7
565:5x 113
802:2x 401
244:2x 2x 61
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 5 = 80
Therefore, the value for common factors is 80.
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 = 15881372740800/(1x80)
LCM = 15881372740800/80
LCM = 198517159260
Thus, we can understand that the LCM of 190,756,565,802,244 is 198517159260.
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FAQs on LCM of 190, 756, 565, 802, 244
1. What is the LCM of 190, 756, 565, 802, 244?
Answer: LCM of 190, 756, 565, 802, 244 is 198517159260.
2. How to calculate the LCM of 190, 756, 565, 802, 244?
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 190, 756, 565, 802, 244.
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}.