LCM of 967, 792, 828, 892, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 792, 828, 892, 959 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 967, 792, 828, 892, 959. So, keep reading to learn more.
Given numbers are 967,792,828,892,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,792,828,892,959 is 3767063681304.
Find LCM of 967,792,828,892,959 with Prime Factorization
| 2 | 967, 792, 828, 892, 959 |
| 2 | 967, 396, 414, 446, 959 |
| 3 | 967, 198, 207, 223, 959 |
| 3 | 967, 66, 69, 223, 959 |
| 967, 22, 23, 223, 959 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 967 x 22 x 23 x 223 x 959 = 3767063681304
Therefore, the lowest common multiple of 967,792,828,892,959 is 3767063681304.
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.
967 x 792 x 828 x 892 x 959 = 542457170107776
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.
967 : 1, 967
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
892 : 1, 2, 4, 223, 446, 892
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,792,828,892,959, is 1.
Now, the common factors can be found like this.
967:967
792:2x 2x 2x 3x 3x 11
828:2x 2x 3x 3x 23
892:2x 2x 223
959:7x 137
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 542457170107776/(1x144)
LCM = 542457170107776/144
LCM = 3767063681304
Thus, we can understand that the LCM of 967,792,828,892,959 is 3767063681304.
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FAQs on LCM of 967, 792, 828, 892, 959
1. What is the LCM of 967, 792, 828, 892, 959?
Answer: LCM of 967, 792, 828, 892, 959 is 3767063681304.
2. How to calculate the LCM of 967, 792, 828, 892, 959?
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 967, 792, 828, 892, 959.
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}.