LCM of 895, 254, 990, 601, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 254, 990, 601, 242 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 895, 254, 990, 601, 242. So, keep reading to learn more.
Given numbers are 895,254,990,601,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,254,990,601,242 is 148784984370.
Find LCM of 895,254,990,601,242 with Prime Factorization
| 2 | 895, 254, 990, 601, 242 |
| 5 | 895, 127, 495, 601, 121 |
| 11 | 179, 127, 99, 601, 121 |
| 179, 127, 9, 601, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 179 x 127 x 9 x 601 x 11 = 148784984370
Therefore, the lowest common multiple of 895,254,990,601,242 is 148784984370.
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.
895 x 254 x 990 x 601 x 242 = 32732696561400
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.
895 : 1, 5, 179, 895
254 : 1, 2, 127, 254
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
601 : 1, 601
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,254,990,601,242, is 1.
Now, the common factors can be found like this.
895:5x 179
254:2x 127
990:2x 3x 3x 5x 11
601:601
242:2x 11x 11
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 32732696561400/(1x220)
LCM = 32732696561400/220
LCM = 148784984370
Thus, we can understand that the LCM of 895,254,990,601,242 is 148784984370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 895, 254, 990, 601, 242
1. What is the LCM of 895, 254, 990, 601, 242?
Answer: LCM of 895, 254, 990, 601, 242 is 148784984370.
2. How to calculate the LCM of 895, 254, 990, 601, 242?
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 895, 254, 990, 601, 242.
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}.