LCM of 137, 405, 693, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 405, 693, 972 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 137, 405, 693, 972. So, keep reading to learn more.
Given numbers are 137,405,693,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,405,693,972 is 51268140.
Find LCM of 137,405,693,972 with Prime Factorization
| 3 | 137, 405, 693, 972 |
| 3 | 137, 135, 231, 324 |
| 3 | 137, 45, 77, 108 |
| 3 | 137, 15, 77, 36 |
| 137, 5, 77, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 137 x 5 x 77 x 12 = 51268140
Therefore, the lowest common multiple of 137,405,693,972 is 51268140.
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.
137 x 405 x 693 x 972 = 37374474060
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.
137 : 1, 137
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,405,693,972, is 1.
Now, the common factors can be found like this.
137:137
405:3x 3x 3x 3x 5
693:3x 3x 7x 11
972:2x 2x 3x 3x 3x 3x 3
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 3 = 729
Therefore, the value for common factors is 729.
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 = 37374474060/(1x729)
LCM = 37374474060/729
LCM = 51268140
Thus, we can understand that the LCM of 137,405,693,972 is 51268140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 137, 405, 693, 972
1. What is the LCM of 137, 405, 693, 972?
Answer: LCM of 137, 405, 693, 972 is 51268140.
2. How to calculate the LCM of 137, 405, 693, 972?
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 137, 405, 693, 972.
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}.