LCM of 326, 989, 820, 738, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 989, 820, 738, 211 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, 989, 820, 738, 211. So, keep reading to learn more.
Given numbers are 326,989,820,738,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,989,820,738,211 is 251028316260.
Find LCM of 326,989,820,738,211 with Prime Factorization
| 2 | 326, 989, 820, 738, 211 |
| 41 | 163, 989, 410, 369, 211 |
| 163, 989, 10, 9, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 163 x 989 x 10 x 9 x 211 = 251028316260
Therefore, the lowest common multiple of 326,989,820,738,211 is 251028316260.
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 989 x 820 x 738 x 211 = 41168643866640
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
989 : 1, 23, 43, 989
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,989,820,738,211, is 1.
Now, the common factors can be found like this.
326:2x 163
989:23x 43
820:2x 2x 5x 41
738:2x 3x 3x 41
211:211
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 41 = 164
Therefore, the value for common factors is 164.
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 = 41168643866640/(1x164)
LCM = 41168643866640/164
LCM = 251028316260
Thus, we can understand that the LCM of 326,989,820,738,211 is 251028316260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 326, 989, 820, 738, 211
1. What is the LCM of 326, 989, 820, 738, 211?
Answer: LCM of 326, 989, 820, 738, 211 is 251028316260.
2. How to calculate the LCM of 326, 989, 820, 738, 211?
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, 989, 820, 738, 211.
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}.