LCM of 326, 836, 738, 564, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 836, 738, 564, 209 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 326, 836, 738, 564, 209. So, keep reading to learn more.
Given numbers are 326,836,738,564,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,836,738,564,209 is 2363295924.
Find LCM of 326,836,738,564,209 with Prime Factorization
| 2 | 326, 836, 738, 564, 209 |
| 2 | 163, 418, 369, 282, 209 |
| 3 | 163, 209, 369, 141, 209 |
| 11 | 163, 209, 123, 47, 209 |
| 19 | 163, 19, 123, 47, 19 |
| 163, 1, 123, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 163 x 1 x 123 x 47 x 1 = 2363295924
Therefore, the lowest common multiple of 326,836,738,564,209 is 2363295924.
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.
326 x 836 x 738 x 564 x 209 = 23708584709568
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.
326 : 1, 2, 163, 326
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,836,738,564,209, is 1.
Now, the common factors can be found like this.
326:2x 163
836:2x 2x 11x 19
738:2x 3x 3x 41
564:2x 2x 3x 47
209:11x 19
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 3x 11x 19 = 10032
Therefore, the value for common factors is 10032.
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 = 23708584709568/(1x10032)
LCM = 23708584709568/10032
LCM = 2363295924
Thus, we can understand that the LCM of 326,836,738,564,209 is 2363295924.
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FAQs on LCM of 326, 836, 738, 564, 209
1. What is the LCM of 326, 836, 738, 564, 209?
Answer: LCM of 326, 836, 738, 564, 209 is 2363295924.
2. How to calculate the LCM of 326, 836, 738, 564, 209?
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 326, 836, 738, 564, 209.
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}.