LCM of 126, 207, 422, 819, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 207, 422, 819, 618 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, 207, 422, 819, 618. So, keep reading to learn more.
Given numbers are 126,207,422,819,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,207,422,819,618 is 818769042.
Find LCM of 126,207,422,819,618 with Prime Factorization
| 2 | 126, 207, 422, 819, 618 |
| 3 | 63, 207, 211, 819, 309 |
| 3 | 21, 69, 211, 273, 103 |
| 7 | 7, 23, 211, 91, 103 |
| 1, 23, 211, 13, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 1 x 23 x 211 x 13 x 103 = 818769042
Therefore, the lowest common multiple of 126,207,422,819,618 is 818769042.
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 207 x 422 x 819 x 618 = 5570904561768
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
207 : 1, 3, 9, 23, 69, 207
422 : 1, 2, 211, 422
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,207,422,819,618, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
207:3x 3x 23
422:2x 211
819:3x 3x 7x 13
618:2x 3x 103
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 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 5570904561768/(1x6804)
LCM = 5570904561768/6804
LCM = 818769042
Thus, we can understand that the LCM of 126,207,422,819,618 is 818769042.
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FAQs on LCM of 126, 207, 422, 819, 618
1. What is the LCM of 126, 207, 422, 819, 618?
Answer: LCM of 126, 207, 422, 819, 618 is 818769042.
2. How to calculate the LCM of 126, 207, 422, 819, 618?
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, 207, 422, 819, 618.
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}.