LCM of 888, 257, 782, 222, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 257, 782, 222, 272 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 888, 257, 782, 222, 272. So, keep reading to learn more.
Given numbers are 888,257,782,222,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,257,782,222,272 is 178464912.
Find LCM of 888,257,782,222,272 with Prime Factorization
| 2 | 888, 257, 782, 222, 272 |
| 2 | 444, 257, 391, 111, 136 |
| 2 | 222, 257, 391, 111, 68 |
| 3 | 111, 257, 391, 111, 34 |
| 17 | 37, 257, 391, 37, 34 |
| 37 | 37, 257, 23, 37, 2 |
| 1, 257, 23, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 37 x 1 x 257 x 23 x 1 x 2 = 178464912
Therefore, the lowest common multiple of 888,257,782,222,272 is 178464912.
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.
888 x 257 x 782 x 222 x 272 = 10776425246208
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
257 : 1, 257
782 : 1, 2, 17, 23, 34, 46, 391, 782
222 : 1, 2, 3, 6, 37, 74, 111, 222
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,257,782,222,272, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
257:257
782:2x 17x 23
222:2x 3x 37
272:2x 2x 2x 2x 17
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 2x 2x 3x 17x 37 = 60384
Therefore, the value for common factors is 60384.
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 = 10776425246208/(1x60384)
LCM = 10776425246208/60384
LCM = 178464912
Thus, we can understand that the LCM of 888,257,782,222,272 is 178464912.
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FAQs on LCM of 888, 257, 782, 222, 272
1. What is the LCM of 888, 257, 782, 222, 272?
Answer: LCM of 888, 257, 782, 222, 272 is 178464912.
2. How to calculate the LCM of 888, 257, 782, 222, 272?
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 888, 257, 782, 222, 272.
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}.