LCM of 187, 446, 828, 527, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 446, 828, 527, 892 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, 446, 828, 527, 892. So, keep reading to learn more.
Given numbers are 187,446,828,527,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,446,828,527,892 is 1070381268.
Find LCM of 187,446,828,527,892 with Prime Factorization
| 2 | 187, 446, 828, 527, 892 |
| 2 | 187, 223, 414, 527, 446 |
| 17 | 187, 223, 207, 527, 223 |
| 223 | 11, 223, 207, 31, 223 |
| 11, 1, 207, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 223 x 11 x 1 x 207 x 31 x 1 = 1070381268
Therefore, the lowest common multiple of 187,446,828,527,892 is 1070381268.
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 446 x 828 x 527 x 892 = 32462523095904
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
446 : 1, 2, 223, 446
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
527 : 1, 17, 31, 527
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,446,828,527,892, is 1.
Now, the common factors can be found like this.
187:11x 17
446:2x 223
828:2x 2x 3x 3x 23
527:17x 31
892:2x 2x 223
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 17x 223 = 30328
Therefore, the value for common factors is 30328.
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 = 32462523095904/(1x30328)
LCM = 32462523095904/30328
LCM = 1070381268
Thus, we can understand that the LCM of 187,446,828,527,892 is 1070381268.
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FAQs on LCM of 187, 446, 828, 527, 892
1. What is the LCM of 187, 446, 828, 527, 892?
Answer: LCM of 187, 446, 828, 527, 892 is 1070381268.
2. How to calculate the LCM of 187, 446, 828, 527, 892?
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, 446, 828, 527, 892.
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}.