LCM of 853, 865, 983, 972, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 865, 983, 972, 564 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 853, 865, 983, 972, 564. So, keep reading to learn more.
Given numbers are 853,865,983,972,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,865,983,972,564 is 33134679893340.
Find LCM of 853,865,983,972,564 with Prime Factorization
| 2 | 853, 865, 983, 972, 564 |
| 2 | 853, 865, 983, 486, 282 |
| 3 | 853, 865, 983, 243, 141 |
| 853, 865, 983, 81, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 853 x 865 x 983 x 81 x 47 = 33134679893340
Therefore, the lowest common multiple of 853,865,983,972,564 is 33134679893340.
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.
853 x 865 x 983 x 972 x 564 = 397616158720080
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.
853 : 1, 853
865 : 1, 5, 173, 865
983 : 1, 983
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,865,983,972,564, is 1.
Now, the common factors can be found like this.
853:853
865:5x 173
983:983
972:2x 2x 3x 3x 3x 3x 3
564:2x 2x 3x 47
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 3 = 12
Therefore, the value for common factors is 12.
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 = 397616158720080/(1x12)
LCM = 397616158720080/12
LCM = 33134679893340
Thus, we can understand that the LCM of 853,865,983,972,564 is 33134679893340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 853, 865, 983, 972, 564
1. What is the LCM of 853, 865, 983, 972, 564?
Answer: LCM of 853, 865, 983, 972, 564 is 33134679893340.
2. How to calculate the LCM of 853, 865, 983, 972, 564?
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 853, 865, 983, 972, 564.
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}.