LCM of 881, 676, 962, 585, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 676, 962, 585, 978 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 881, 676, 962, 585, 978. So, keep reading to learn more.
Given numbers are 881,676,962,585,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,676,962,585,978 is 161630920620.
Find LCM of 881,676,962,585,978 with Prime Factorization
| 2 | 881, 676, 962, 585, 978 |
| 3 | 881, 338, 481, 585, 489 |
| 13 | 881, 338, 481, 195, 163 |
| 881, 26, 37, 15, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 881 x 26 x 37 x 15 x 163 = 161630920620
Therefore, the lowest common multiple of 881,676,962,585,978 is 161630920620.
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.
881 x 676 x 962 x 585 x 978 = 327787507017360
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.
881 : 1, 881
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
962 : 1, 2, 13, 26, 37, 74, 481, 962
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,676,962,585,978, is 1.
Now, the common factors can be found like this.
881:881
676:2x 2x 13x 13
962:2x 13x 37
585:3x 3x 5x 13
978:2x 3x 163
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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 327787507017360/(1x2028)
LCM = 327787507017360/2028
LCM = 161630920620
Thus, we can understand that the LCM of 881,676,962,585,978 is 161630920620.
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FAQs on LCM of 881, 676, 962, 585, 978
1. What is the LCM of 881, 676, 962, 585, 978?
Answer: LCM of 881, 676, 962, 585, 978 is 161630920620.
2. How to calculate the LCM of 881, 676, 962, 585, 978?
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 881, 676, 962, 585, 978.
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}.