LCM of 187, 874, 418, 274, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 874, 418, 274, 460 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 187, 874, 418, 274, 460. So, keep reading to learn more.
Given numbers are 187,874,418,274,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,874,418,274,460 is 223910060.
Find LCM of 187,874,418,274,460 with Prime Factorization
| 2 | 187, 874, 418, 274, 460 |
| 11 | 187, 437, 209, 137, 230 |
| 19 | 17, 437, 19, 137, 230 |
| 23 | 17, 23, 1, 137, 230 |
| 17, 1, 1, 137, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 23 x 17 x 1 x 1 x 137 x 10 = 223910060
Therefore, the lowest common multiple of 187,874,418,274,460 is 223910060.
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.
187 x 874 x 418 x 274 x 460 = 8610685267360
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.
187 : 1, 11, 17, 187
874 : 1, 2, 19, 23, 38, 46, 437, 874
418 : 1, 2, 11, 19, 22, 38, 209, 418
274 : 1, 2, 137, 274
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,874,418,274,460, is 1.
Now, the common factors can be found like this.
187:11x 17
874:2x 19x 23
418:2x 11x 19
274:2x 137
460:2x 2x 5x 23
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 11x 19x 23 = 38456
Therefore, the value for common factors is 38456.
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 = 8610685267360/(1x38456)
LCM = 8610685267360/38456
LCM = 223910060
Thus, we can understand that the LCM of 187,874,418,274,460 is 223910060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 874, 418, 274, 460
1. What is the LCM of 187, 874, 418, 274, 460?
Answer: LCM of 187, 874, 418, 274, 460 is 223910060.
2. How to calculate the LCM of 187, 874, 418, 274, 460?
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 187, 874, 418, 274, 460.
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}.