LCM of 909, 834, 152, 412, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 834, 152, 412, 867 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, 834, 152, 412, 867. So, keep reading to learn more.
Given numbers are 909,834,152,412,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,834,152,412,867 is 571685712984.
Find LCM of 909,834,152,412,867 with Prime Factorization
| 2 | 909, 834, 152, 412, 867 |
| 2 | 909, 417, 76, 206, 867 |
| 3 | 909, 417, 38, 103, 867 |
| 303, 139, 38, 103, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 303 x 139 x 38 x 103 x 289 = 571685712984
Therefore, the lowest common multiple of 909,834,152,412,867 is 571685712984.
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 834 x 152 x 412 x 867 = 41161371334848
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
834 : 1, 2, 3, 6, 139, 278, 417, 834
152 : 1, 2, 4, 8, 19, 38, 76, 152
412 : 1, 2, 4, 103, 206, 412
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,834,152,412,867, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
834:2x 3x 139
152:2x 2x 2x 19
412:2x 2x 103
867:3x 17x 17
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 41161371334848/(1x72)
LCM = 41161371334848/72
LCM = 571685712984
Thus, we can understand that the LCM of 909,834,152,412,867 is 571685712984.
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FAQs on LCM of 909, 834, 152, 412, 867
1. What is the LCM of 909, 834, 152, 412, 867?
Answer: LCM of 909, 834, 152, 412, 867 is 571685712984.
2. How to calculate the LCM of 909, 834, 152, 412, 867?
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, 834, 152, 412, 867.
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}.