LCM of 942, 108, 165, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 108, 165, 825 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 942, 108, 165, 825. So, keep reading to learn more.
Given numbers are 942,108,165,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,108,165,825 is 4662900.
Find LCM of 942,108,165,825 with Prime Factorization
| 2 | 942, 108, 165, 825 |
| 3 | 471, 54, 165, 825 |
| 5 | 157, 18, 55, 275 |
| 11 | 157, 18, 11, 55 |
| 157, 18, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 157 x 18 x 1 x 5 = 4662900
Therefore, the lowest common multiple of 942,108,165,825 is 4662900.
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.
942 x 108 x 165 x 825 = 13848813000
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
165 : 1, 3, 5, 11, 15, 33, 55, 165
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,108,165,825, is 3.
Now, the common factors can be found like this.
942:2x 3x 157
108:2x 2x 3x 3x 3
165:3x 5x 11
825:3x 5x 5x 11
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 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 13848813000/(3x990)
LCM = 13848813000/2970
LCM = 4662900
Thus, we can understand that the LCM of 942,108,165,825 is 4662900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 108, 165, 825
1. What is the LCM of 942, 108, 165, 825?
Answer: LCM of 942, 108, 165, 825 is 4662900.
2. How to calculate the LCM of 942, 108, 165, 825?
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 942, 108, 165, 825.
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}.