LCM of 973, 359, 446, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 359, 446, 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 973, 359, 446, 892. So, keep reading to learn more.
Given numbers are 973,359,446,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,359,446,892 is 311581844.
Find LCM of 973,359,446,892 with Prime Factorization
| 2 | 973, 359, 446, 892 |
| 223 | 973, 359, 223, 446 |
| 973, 359, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 223 x 973 x 359 x 1 x 2 = 311581844
Therefore, the lowest common multiple of 973,359,446,892 is 311581844.
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.
973 x 359 x 446 x 892 = 138965502424
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.
973 : 1, 7, 139, 973
359 : 1, 359
446 : 1, 2, 223, 446
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 973,359,446,892, is 1.
Now, the common factors can be found like this.
973:7x 139
359:359
446:2x 223
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.
2x 223 = 446
Therefore, the value for common factors is 446.
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 = 138965502424/(1x446)
LCM = 138965502424/446
LCM = 311581844
Thus, we can understand that the LCM of 973,359,446,892 is 311581844.
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FAQs on LCM of 973, 359, 446, 892
1. What is the LCM of 973, 359, 446, 892?
Answer: LCM of 973, 359, 446, 892 is 311581844.
2. How to calculate the LCM of 973, 359, 446, 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 973, 359, 446, 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}.