LCM of 909, 820, 751, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 820, 751, 164 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 909, 820, 751, 164. So, keep reading to learn more.
Given numbers are 909,820,751,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,820,751,164 is 559780380.
Find LCM of 909,820,751,164 with Prime Factorization
| 2 | 909, 820, 751, 164 |
| 2 | 909, 410, 751, 82 |
| 41 | 909, 205, 751, 41 |
| 909, 5, 751, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 909 x 5 x 751 x 1 = 559780380
Therefore, the lowest common multiple of 909,820,751,164 is 559780380.
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.
909 x 820 x 751 x 164 = 91803982320
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.
909 : 1, 3, 9, 101, 303, 909
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
751 : 1, 751
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,820,751,164, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
820:2x 2x 5x 41
751:751
164:2x 2x 41
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 = 91803982320/(1x164)
LCM = 91803982320/164
LCM = 559780380
Thus, we can understand that the LCM of 909,820,751,164 is 559780380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 820, 751, 164
1. What is the LCM of 909, 820, 751, 164?
Answer: LCM of 909, 820, 751, 164 is 559780380.
2. How to calculate the LCM of 909, 820, 751, 164?
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 909, 820, 751, 164.
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}.