LCM of 836, 712, 712, 489, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 712, 712, 489, 557 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 836, 712, 712, 489, 557. So, keep reading to learn more.
Given numbers are 836,712,712,489,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,712,712,489,557 is 40531281384.
Find LCM of 836,712,712,489,557 with Prime Factorization
| 2 | 836, 712, 712, 489, 557 |
| 2 | 418, 356, 356, 489, 557 |
| 2 | 209, 178, 178, 489, 557 |
| 89 | 209, 89, 89, 489, 557 |
| 209, 1, 1, 489, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 89 x 209 x 1 x 1 x 489 x 557 = 40531281384
Therefore, the lowest common multiple of 836,712,712,489,557 is 40531281384.
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.
836 x 712 x 712 x 489 x 557 = 115433089381632
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
712 : 1, 2, 4, 8, 89, 178, 356, 712
712 : 1, 2, 4, 8, 89, 178, 356, 712
489 : 1, 3, 163, 489
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,712,712,489,557, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
712:2x 2x 2x 89
712:2x 2x 2x 89
489:3x 163
557:557
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 2x 89 = 2848
Therefore, the value for common factors is 2848.
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 = 115433089381632/(1x2848)
LCM = 115433089381632/2848
LCM = 40531281384
Thus, we can understand that the LCM of 836,712,712,489,557 is 40531281384.
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FAQs on LCM of 836, 712, 712, 489, 557
1. What is the LCM of 836, 712, 712, 489, 557?
Answer: LCM of 836, 712, 712, 489, 557 is 40531281384.
2. How to calculate the LCM of 836, 712, 712, 489, 557?
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 836, 712, 712, 489, 557.
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}.