LCM of 855, 995, 398, 332, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 995, 398, 332, 779 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 855, 995, 398, 332, 779. So, keep reading to learn more.
Given numbers are 855,995,398,332,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,995,398,332,779 is 2316013740.
Find LCM of 855,995,398,332,779 with Prime Factorization
| 2 | 855, 995, 398, 332, 779 |
| 5 | 855, 995, 199, 166, 779 |
| 19 | 171, 199, 199, 166, 779 |
| 199 | 9, 199, 199, 166, 41 |
| 9, 1, 1, 166, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 199 x 9 x 1 x 1 x 166 x 41 = 2316013740
Therefore, the lowest common multiple of 855,995,398,332,779 is 2316013740.
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.
855 x 995 x 398 x 332 x 779 = 87568479509400
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
995 : 1, 5, 199, 995
398 : 1, 2, 199, 398
332 : 1, 2, 4, 83, 166, 332
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,995,398,332,779, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
995:5x 199
398:2x 199
332:2x 2x 83
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 199 = 37810
Therefore, the value for common factors is 37810.
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 = 87568479509400/(1x37810)
LCM = 87568479509400/37810
LCM = 2316013740
Thus, we can understand that the LCM of 855,995,398,332,779 is 2316013740.
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FAQs on LCM of 855, 995, 398, 332, 779
1. What is the LCM of 855, 995, 398, 332, 779?
Answer: LCM of 855, 995, 398, 332, 779 is 2316013740.
2. How to calculate the LCM of 855, 995, 398, 332, 779?
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 855, 995, 398, 332, 779.
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}.