LCM of 865, 305, 160, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 305, 160, 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 865, 305, 160, 972. So, keep reading to learn more.
Given numbers are 865,305,160,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,305,160,972 is 410300640.
Find LCM of 865,305,160,972 with Prime Factorization
| 2 | 865, 305, 160, 972 |
| 2 | 865, 305, 80, 486 |
| 5 | 865, 305, 40, 243 |
| 173, 61, 8, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 173 x 61 x 8 x 243 = 410300640
Therefore, the lowest common multiple of 865,305,160,972 is 410300640.
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.
865 x 305 x 160 x 972 = 41030064000
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.
865 : 1, 5, 173, 865
305 : 1, 5, 61, 305
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 865,305,160,972, is 1.
Now, the common factors can be found like this.
865:5x 173
305:5x 61
160:2x 2x 2x 2x 2x 5
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.
2x 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 41030064000/(1x100)
LCM = 41030064000/100
LCM = 410300640
Thus, we can understand that the LCM of 865,305,160,972 is 410300640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 865, 305, 160, 972
1. What is the LCM of 865, 305, 160, 972?
Answer: LCM of 865, 305, 160, 972 is 410300640.
2. How to calculate the LCM of 865, 305, 160, 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 865, 305, 160, 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}.