LCM of 985, 890, 974, 796, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 890, 974, 796, 445 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 985, 890, 974, 796, 445. So, keep reading to learn more.
Given numbers are 985,890,974,796,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,890,974,796,445 is 33983512580.
Find LCM of 985,890,974,796,445 with Prime Factorization
| 2 | 985, 890, 974, 796, 445 |
| 5 | 985, 445, 487, 398, 445 |
| 89 | 197, 89, 487, 398, 89 |
| 197, 1, 487, 398, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 89 x 197 x 1 x 487 x 398 x 1 = 33983512580
Therefore, the lowest common multiple of 985,890,974,796,445 is 33983512580.
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.
985 x 890 x 974 x 796 x 445 = 302453261962000
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.
985 : 1, 5, 197, 985
890 : 1, 2, 5, 10, 89, 178, 445, 890
974 : 1, 2, 487, 974
796 : 1, 2, 4, 199, 398, 796
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,890,974,796,445, is 1.
Now, the common factors can be found like this.
985:5x 197
890:2x 5x 89
974:2x 487
796:2x 2x 199
445:5x 89
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 5x 5x 89 = 8900
Therefore, the value for common factors is 8900.
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 = 302453261962000/(1x8900)
LCM = 302453261962000/8900
LCM = 33983512580
Thus, we can understand that the LCM of 985,890,974,796,445 is 33983512580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 890, 974, 796, 445
1. What is the LCM of 985, 890, 974, 796, 445?
Answer: LCM of 985, 890, 974, 796, 445 is 33983512580.
2. How to calculate the LCM of 985, 890, 974, 796, 445?
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 985, 890, 974, 796, 445.
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}.