LCM of 192, 527, 871, 748, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 527, 871, 748, 837 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 192, 527, 871, 748, 837. So, keep reading to learn more.
Given numbers are 192,527,871,748,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,527,871,748,837 is 8724995136.
Find LCM of 192,527,871,748,837 with Prime Factorization
| 2 | 192, 527, 871, 748, 837 |
| 2 | 96, 527, 871, 374, 837 |
| 3 | 48, 527, 871, 187, 837 |
| 17 | 16, 527, 871, 187, 279 |
| 31 | 16, 31, 871, 11, 279 |
| 16, 1, 871, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 31 x 16 x 1 x 871 x 11 x 9 = 8724995136
Therefore, the lowest common multiple of 192,527,871,748,837 is 8724995136.
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.
192 x 527 x 871 x 748 x 837 = 55176869240064
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
527 : 1, 17, 31, 527
871 : 1, 13, 67, 871
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,527,871,748,837, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
527:17x 31
871:13x 67
748:2x 2x 11x 17
837:3x 3x 3x 31
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 3x 17x 31 = 6324
Therefore, the value for common factors is 6324.
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 = 55176869240064/(1x6324)
LCM = 55176869240064/6324
LCM = 8724995136
Thus, we can understand that the LCM of 192,527,871,748,837 is 8724995136.
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FAQs on LCM of 192, 527, 871, 748, 837
1. What is the LCM of 192, 527, 871, 748, 837?
Answer: LCM of 192, 527, 871, 748, 837 is 8724995136.
2. How to calculate the LCM of 192, 527, 871, 748, 837?
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 192, 527, 871, 748, 837.
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}.