LCM of 270, 894, 404, 255, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 894, 404, 255, 202 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 270, 894, 404, 255, 202. So, keep reading to learn more.
Given numbers are 270,894,404,255,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,894,404,255,202 is 138149820.
Find LCM of 270,894,404,255,202 with Prime Factorization
| 2 | 270, 894, 404, 255, 202 |
| 3 | 135, 447, 202, 255, 101 |
| 5 | 45, 149, 202, 85, 101 |
| 101 | 9, 149, 202, 17, 101 |
| 9, 149, 2, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 9 x 149 x 2 x 17 x 1 = 138149820
Therefore, the lowest common multiple of 270,894,404,255,202 is 138149820.
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.
270 x 894 x 404 x 255 x 202 = 5023127455200
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
894 : 1, 2, 3, 6, 149, 298, 447, 894
404 : 1, 2, 4, 101, 202, 404
255 : 1, 3, 5, 15, 17, 51, 85, 255
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,894,404,255,202, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
894:2x 3x 149
404:2x 2x 101
255:3x 5x 17
202:2x 101
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 3x 3x 5x 101 = 36360
Therefore, the value for common factors is 36360.
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 = 5023127455200/(1x36360)
LCM = 5023127455200/36360
LCM = 138149820
Thus, we can understand that the LCM of 270,894,404,255,202 is 138149820.
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FAQs on LCM of 270, 894, 404, 255, 202
1. What is the LCM of 270, 894, 404, 255, 202?
Answer: LCM of 270, 894, 404, 255, 202 is 138149820.
2. How to calculate the LCM of 270, 894, 404, 255, 202?
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 270, 894, 404, 255, 202.
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}.