LCM of 382, 553, 845, 618, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 553, 845, 618, 855 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 382, 553, 845, 618, 855. So, keep reading to learn more.
Given numbers are 382,553,845,618,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,553,845,618,855 is 3143971049310.
Find LCM of 382,553,845,618,855 with Prime Factorization
| 2 | 382, 553, 845, 618, 855 |
| 3 | 191, 553, 845, 309, 855 |
| 5 | 191, 553, 845, 103, 285 |
| 191, 553, 169, 103, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 191 x 553 x 169 x 103 x 57 = 3143971049310
Therefore, the lowest common multiple of 382,553,845,618,855 is 3143971049310.
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.
382 x 553 x 845 x 618 x 855 = 94319131479300
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.
382 : 1, 2, 191, 382
553 : 1, 7, 79, 553
845 : 1, 5, 13, 65, 169, 845
618 : 1, 2, 3, 6, 103, 206, 309, 618
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,553,845,618,855, is 1.
Now, the common factors can be found like this.
382:2x 191
553:7x 79
845:5x 13x 13
618:2x 3x 103
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 94319131479300/(1x30)
LCM = 94319131479300/30
LCM = 3143971049310
Thus, we can understand that the LCM of 382,553,845,618,855 is 3143971049310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 553, 845, 618, 855
1. What is the LCM of 382, 553, 845, 618, 855?
Answer: LCM of 382, 553, 845, 618, 855 is 3143971049310.
2. How to calculate the LCM of 382, 553, 845, 618, 855?
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 382, 553, 845, 618, 855.
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}.