LCM of 126, 903, 861, 618, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 903, 861, 618, 882 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 126, 903, 861, 618, 882. So, keep reading to learn more.
Given numbers are 126,903,861,618,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,903,861,618,882 is 160161498.
Find LCM of 126,903,861,618,882 with Prime Factorization
| 2 | 126, 903, 861, 618, 882 |
| 3 | 63, 903, 861, 309, 441 |
| 3 | 21, 301, 287, 103, 147 |
| 7 | 7, 301, 287, 103, 49 |
| 1, 43, 41, 103, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 1 x 43 x 41 x 103 x 7 = 160161498
Therefore, the lowest common multiple of 126,903,861,618,882 is 160161498.
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.
126 x 903 x 861 x 618 x 882 = 53397202787208
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
903 : 1, 3, 7, 21, 43, 129, 301, 903
861 : 1, 3, 7, 21, 41, 123, 287, 861
618 : 1, 2, 3, 6, 103, 206, 309, 618
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,903,861,618,882, is 3.
Now, the common factors can be found like this.
126:2x 3x 3x 7
903:3x 7x 43
861:3x 7x 41
618:2x 3x 103
882:2x 3x 3x 7x 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 3x 3x 3x 3x 7x 7x 7 = 111132
Therefore, the value for common factors is 111132.
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 = 53397202787208/(3x111132)
LCM = 53397202787208/333396
LCM = 160161498
Thus, we can understand that the LCM of 126,903,861,618,882 is 160161498.
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FAQs on LCM of 126, 903, 861, 618, 882
1. What is the LCM of 126, 903, 861, 618, 882?
Answer: LCM of 126, 903, 861, 618, 882 is 160161498.
2. How to calculate the LCM of 126, 903, 861, 618, 882?
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 126, 903, 861, 618, 882.
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}.