LCM of 170, 635, 895, 555, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 635, 895, 555, 397 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 170, 635, 895, 555, 397. So, keep reading to learn more.
Given numbers are 170,635,895,555,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,635,895,555,397 is 170301768870.
Find LCM of 170,635,895,555,397 with Prime Factorization
| 5 | 170, 635, 895, 555, 397 |
| 34, 127, 179, 111, 397 |
Multiply the prime numbers at the bottom and the left side.
5 x 34 x 127 x 179 x 111 x 397 = 170301768870
Therefore, the lowest common multiple of 170,635,895,555,397 is 170301768870.
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.
170 x 635 x 895 x 555 x 397 = 21287721108750
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
635 : 1, 5, 127, 635
895 : 1, 5, 179, 895
555 : 1, 3, 5, 15, 37, 111, 185, 555
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,635,895,555,397, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
635:5x 127
895:5x 179
555:3x 5x 37
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 21287721108750/(1x125)
LCM = 21287721108750/125
LCM = 170301768870
Thus, we can understand that the LCM of 170,635,895,555,397 is 170301768870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 170, 635, 895, 555, 397
1. What is the LCM of 170, 635, 895, 555, 397?
Answer: LCM of 170, 635, 895, 555, 397 is 170301768870.
2. How to calculate the LCM of 170, 635, 895, 555, 397?
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 170, 635, 895, 555, 397.
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}.