LCM of 291, 226, 465, 170, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 226, 465, 170, 912 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 291, 226, 465, 170, 912. So, keep reading to learn more.
Given numbers are 291,226,465,170,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,226,465,170,912 is 26340598320.
Find LCM of 291,226,465,170,912 with Prime Factorization
| 2 | 291, 226, 465, 170, 912 |
| 3 | 291, 113, 465, 85, 456 |
| 5 | 97, 113, 155, 85, 152 |
| 97, 113, 31, 17, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 97 x 113 x 31 x 17 x 152 = 26340598320
Therefore, the lowest common multiple of 291,226,465,170,912 is 26340598320.
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.
291 x 226 x 465 x 170 x 912 = 4741307697600
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.
291 : 1, 3, 97, 291
226 : 1, 2, 113, 226
465 : 1, 3, 5, 15, 31, 93, 155, 465
170 : 1, 2, 5, 10, 17, 34, 85, 170
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,226,465,170,912, is 1.
Now, the common factors can be found like this.
291:3x 97
226:2x 113
465:3x 5x 31
170:2x 5x 17
912:2x 2x 2x 2x 3x 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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 4741307697600/(1x180)
LCM = 4741307697600/180
LCM = 26340598320
Thus, we can understand that the LCM of 291,226,465,170,912 is 26340598320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 291, 226, 465, 170, 912
1. What is the LCM of 291, 226, 465, 170, 912?
Answer: LCM of 291, 226, 465, 170, 912 is 26340598320.
2. How to calculate the LCM of 291, 226, 465, 170, 912?
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 291, 226, 465, 170, 912.
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}.