LCM of 854, 953, 123, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 953, 123, 892 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 854, 953, 123, 892. So, keep reading to learn more.
Given numbers are 854,953,123,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,953,123,892 is 44646841596.
Find LCM of 854,953,123,892 with Prime Factorization
| 2 | 854, 953, 123, 892 |
| 427, 953, 123, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 427 x 953 x 123 x 446 = 44646841596
Therefore, the lowest common multiple of 854,953,123,892 is 44646841596.
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.
854 x 953 x 123 x 892 = 89293683192
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
953 : 1, 953
123 : 1, 3, 41, 123
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,953,123,892, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
953:953
123:3x 41
892:2x 2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 89293683192/(1x2)
LCM = 89293683192/2
LCM = 44646841596
Thus, we can understand that the LCM of 854,953,123,892 is 44646841596.
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FAQs on LCM of 854, 953, 123, 892
1. What is the LCM of 854, 953, 123, 892?
Answer: LCM of 854, 953, 123, 892 is 44646841596.
2. How to calculate the LCM of 854, 953, 123, 892?
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 854, 953, 123, 892.
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}.