LCM of 117, 162, 371, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 162, 371, 546 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 117, 162, 371, 546. So, keep reading to learn more.
Given numbers are 117,162,371,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,162,371,546 is 781326.
Find LCM of 117,162,371,546 with Prime Factorization
| 2 | 117, 162, 371, 546 |
| 3 | 117, 81, 371, 273 |
| 3 | 39, 27, 371, 91 |
| 7 | 13, 9, 371, 91 |
| 13 | 13, 9, 53, 13 |
| 1, 9, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 1 x 9 x 53 x 1 = 781326
Therefore, the lowest common multiple of 117,162,371,546 is 781326.
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.
117 x 162 x 371 x 546 = 3839435964
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.
117 : 1, 3, 9, 13, 39, 117
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
371 : 1, 7, 53, 371
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,162,371,546, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
162:2x 3x 3x 3x 3
371:7x 53
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 3839435964/(1x4914)
LCM = 3839435964/4914
LCM = 781326
Thus, we can understand that the LCM of 117,162,371,546 is 781326.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 162, 371, 546
1. What is the LCM of 117, 162, 371, 546?
Answer: LCM of 117, 162, 371, 546 is 781326.
2. How to calculate the LCM of 117, 162, 371, 546?
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 117, 162, 371, 546.
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}.