LCM of 112, 357, 181, 630, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 357, 181, 630, 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 112, 357, 181, 630, 855. So, keep reading to learn more.
Given numbers are 112,357,181,630,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,357,181,630,855 is 294653520.
Find LCM of 112,357,181,630,855 with Prime Factorization
| 2 | 112, 357, 181, 630, 855 |
| 3 | 56, 357, 181, 315, 855 |
| 3 | 56, 119, 181, 105, 285 |
| 5 | 56, 119, 181, 35, 95 |
| 7 | 56, 119, 181, 7, 19 |
| 8, 17, 181, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 8 x 17 x 181 x 1 x 19 = 294653520
Therefore, the lowest common multiple of 112,357,181,630,855 is 294653520.
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.
112 x 357 x 181 x 630 x 855 = 3898266069600
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
357 : 1, 3, 7, 17, 21, 51, 119, 357
181 : 1, 181
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 112,357,181,630,855, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
357:3x 7x 17
181:181
630:2x 3x 3x 5x 7
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 3x 3x 5x 7x 7 = 13230
Therefore, the value for common factors is 13230.
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 = 3898266069600/(1x13230)
LCM = 3898266069600/13230
LCM = 294653520
Thus, we can understand that the LCM of 112,357,181,630,855 is 294653520.
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FAQs on LCM of 112, 357, 181, 630, 855
1. What is the LCM of 112, 357, 181, 630, 855?
Answer: LCM of 112, 357, 181, 630, 855 is 294653520.
2. How to calculate the LCM of 112, 357, 181, 630, 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 112, 357, 181, 630, 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}.