LCM of 865, 692, 904, 968, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 692, 904, 968, 438 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, 692, 904, 968, 438. So, keep reading to learn more.
Given numbers are 865,692,904,968,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,692,904,968,438 is 20721158040.
Find LCM of 865,692,904,968,438 with Prime Factorization
| 2 | 865, 692, 904, 968, 438 |
| 2 | 865, 346, 452, 484, 219 |
| 2 | 865, 173, 226, 242, 219 |
| 173 | 865, 173, 113, 121, 219 |
| 5, 1, 113, 121, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 173 x 5 x 1 x 113 x 121 x 219 = 20721158040
Therefore, the lowest common multiple of 865,692,904,968,438 is 20721158040.
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 692 x 904 x 968 x 438 = 229424661818880
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
692 : 1, 2, 4, 173, 346, 692
904 : 1, 2, 4, 8, 113, 226, 452, 904
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,692,904,968,438, is 1.
Now, the common factors can be found like this.
865:5x 173
692:2x 2x 173
904:2x 2x 2x 113
968:2x 2x 2x 11x 11
438:2x 3x 73
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 2x 2x 173 = 11072
Therefore, the value for common factors is 11072.
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 = 229424661818880/(1x11072)
LCM = 229424661818880/11072
LCM = 20721158040
Thus, we can understand that the LCM of 865,692,904,968,438 is 20721158040.
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FAQs on LCM of 865, 692, 904, 968, 438
1. What is the LCM of 865, 692, 904, 968, 438?
Answer: LCM of 865, 692, 904, 968, 438 is 20721158040.
2. How to calculate the LCM of 865, 692, 904, 968, 438?
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, 692, 904, 968, 438.
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}.