LCM of 975, 243, 486, 867, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 243, 486, 867, 737 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 975, 243, 486, 867, 737. So, keep reading to learn more.
Given numbers are 975,243,486,867,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,243,486,867,737 is 33642244350.
Find LCM of 975,243,486,867,737 with Prime Factorization
| 3 | 975, 243, 486, 867, 737 |
| 3 | 325, 81, 162, 289, 737 |
| 3 | 325, 27, 54, 289, 737 |
| 3 | 325, 9, 18, 289, 737 |
| 3 | 325, 3, 6, 289, 737 |
| 325, 1, 2, 289, 737 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 3 x 325 x 1 x 2 x 289 x 737 = 33642244350
Therefore, the lowest common multiple of 975,243,486,867,737 is 33642244350.
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.
975 x 243 x 486 x 867 x 737 = 73575588393450
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
243 : 1, 3, 9, 27, 81, 243
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
867 : 1, 3, 17, 51, 289, 867
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,243,486,867,737, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
243:3x 3x 3x 3x 3
486:2x 3x 3x 3x 3x 3
867:3x 17x 17
737:11x 67
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 3x 3x 3x 3 = 2187
Therefore, the value for common factors is 2187.
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 = 73575588393450/(1x2187)
LCM = 73575588393450/2187
LCM = 33642244350
Thus, we can understand that the LCM of 975,243,486,867,737 is 33642244350.
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FAQs on LCM of 975, 243, 486, 867, 737
1. What is the LCM of 975, 243, 486, 867, 737?
Answer: LCM of 975, 243, 486, 867, 737 is 33642244350.
2. How to calculate the LCM of 975, 243, 486, 867, 737?
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 975, 243, 486, 867, 737.
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}.