LCM of 152, 876, 656, 283, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 876, 656, 283, 126 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 152, 876, 656, 283, 126. So, keep reading to learn more.
Given numbers are 152,876,656,283,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,876,656,283,126 is 16222107888.
Find LCM of 152,876,656,283,126 with Prime Factorization
| 2 | 152, 876, 656, 283, 126 |
| 2 | 76, 438, 328, 283, 63 |
| 2 | 38, 219, 164, 283, 63 |
| 3 | 19, 219, 82, 283, 63 |
| 19, 73, 82, 283, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 73 x 82 x 283 x 21 = 16222107888
Therefore, the lowest common multiple of 152,876,656,283,126 is 16222107888.
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.
152 x 876 x 656 x 283 x 126 = 3114644714496
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
283 : 1, 283
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,876,656,283,126, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
876:2x 2x 3x 73
656:2x 2x 2x 2x 41
283:283
126:2x 3x 3x 7
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 3114644714496/(1x192)
LCM = 3114644714496/192
LCM = 16222107888
Thus, we can understand that the LCM of 152,876,656,283,126 is 16222107888.
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FAQs on LCM of 152, 876, 656, 283, 126
1. What is the LCM of 152, 876, 656, 283, 126?
Answer: LCM of 152, 876, 656, 283, 126 is 16222107888.
2. How to calculate the LCM of 152, 876, 656, 283, 126?
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 152, 876, 656, 283, 126.
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}.