LCM of 461, 775, 307, 675, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 775, 307, 675, 837 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 461, 775, 307, 675, 837. So, keep reading to learn more.
Given numbers are 461,775,307,675,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,775,307,675,837 is 2961452475.
Find LCM of 461,775,307,675,837 with Prime Factorization
| 3 | 461, 775, 307, 675, 837 |
| 3 | 461, 775, 307, 225, 279 |
| 3 | 461, 775, 307, 75, 93 |
| 5 | 461, 775, 307, 25, 31 |
| 5 | 461, 155, 307, 5, 31 |
| 31 | 461, 31, 307, 1, 31 |
| 461, 1, 307, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 5 x 31 x 461 x 1 x 307 x 1 x 1 = 2961452475
Therefore, the lowest common multiple of 461,775,307,675,837 is 2961452475.
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.
461 x 775 x 307 x 675 x 837 = 61968393039375
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.
461 : 1, 461
775 : 1, 5, 25, 31, 155, 775
307 : 1, 307
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,775,307,675,837, is 1.
Now, the common factors can be found like this.
461:461
775:5x 5x 31
307:307
675:3x 3x 3x 5x 5
837:3x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 31 = 20925
Therefore, the value for common factors is 20925.
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 = 61968393039375/(1x20925)
LCM = 61968393039375/20925
LCM = 2961452475
Thus, we can understand that the LCM of 461,775,307,675,837 is 2961452475.
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FAQs on LCM of 461, 775, 307, 675, 837
1. What is the LCM of 461, 775, 307, 675, 837?
Answer: LCM of 461, 775, 307, 675, 837 is 2961452475.
2. How to calculate the LCM of 461, 775, 307, 675, 837?
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 461, 775, 307, 675, 837.
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}.