LCM of 177, 792, 531, 251, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 792, 531, 251, 542 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 177, 792, 531, 251, 542. So, keep reading to learn more.
Given numbers are 177,792,531,251,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,792,531,251,542 is 3178485288.
Find LCM of 177,792,531,251,542 with Prime Factorization
| 2 | 177, 792, 531, 251, 542 |
| 3 | 177, 396, 531, 251, 271 |
| 3 | 59, 132, 177, 251, 271 |
| 59 | 59, 44, 59, 251, 271 |
| 1, 44, 1, 251, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 59 x 1 x 44 x 1 x 251 x 271 = 3178485288
Therefore, the lowest common multiple of 177,792,531,251,542 is 3178485288.
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.
177 x 792 x 531 x 251 x 542 = 10126654127568
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.
177 : 1, 3, 59, 177
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
531 : 1, 3, 9, 59, 177, 531
251 : 1, 251
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,792,531,251,542, is 1.
Now, the common factors can be found like this.
177:3x 59
792:2x 2x 2x 3x 3x 11
531:3x 3x 59
251:251
542:2x 271
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 59 = 3186
Therefore, the value for common factors is 3186.
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 = 10126654127568/(1x3186)
LCM = 10126654127568/3186
LCM = 3178485288
Thus, we can understand that the LCM of 177,792,531,251,542 is 3178485288.
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FAQs on LCM of 177, 792, 531, 251, 542
1. What is the LCM of 177, 792, 531, 251, 542?
Answer: LCM of 177, 792, 531, 251, 542 is 3178485288.
2. How to calculate the LCM of 177, 792, 531, 251, 542?
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 177, 792, 531, 251, 542.
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}.