LCM of 865, 352, 774, 958, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 352, 774, 958, 852 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, 352, 774, 958, 852. So, keep reading to learn more.
Given numbers are 865,352,774,958,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,352,774,958,852 is 4007408343840.
Find LCM of 865,352,774,958,852 with Prime Factorization
| 2 | 865, 352, 774, 958, 852 |
| 2 | 865, 176, 387, 479, 426 |
| 3 | 865, 88, 387, 479, 213 |
| 865, 88, 129, 479, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 865 x 88 x 129 x 479 x 71 = 4007408343840
Therefore, the lowest common multiple of 865,352,774,958,852 is 4007408343840.
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 352 x 774 x 958 x 852 = 192355600504320
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
958 : 1, 2, 479, 958
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,352,774,958,852, is 1.
Now, the common factors can be found like this.
865:5x 173
352:2x 2x 2x 2x 2x 11
774:2x 3x 3x 43
958:2x 479
852:2x 2x 3x 71
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 192355600504320/(1x48)
LCM = 192355600504320/48
LCM = 4007408343840
Thus, we can understand that the LCM of 865,352,774,958,852 is 4007408343840.
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FAQs on LCM of 865, 352, 774, 958, 852
1. What is the LCM of 865, 352, 774, 958, 852?
Answer: LCM of 865, 352, 774, 958, 852 is 4007408343840.
2. How to calculate the LCM of 865, 352, 774, 958, 852?
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, 352, 774, 958, 852.
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}.