LCM of 676, 992, 961, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 992, 961, 523 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 676, 992, 961, 523. So, keep reading to learn more.
Given numbers are 676,992,961,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,992,961,523 is 2718077024.
Find LCM of 676,992,961,523 with Prime Factorization
| 2 | 676, 992, 961, 523 |
| 2 | 338, 496, 961, 523 |
| 31 | 169, 248, 961, 523 |
| 169, 8, 31, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 169 x 8 x 31 x 523 = 2718077024
Therefore, the lowest common multiple of 676,992,961,523 is 2718077024.
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.
676 x 992 x 961 x 523 = 337041550976
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
961 : 1, 31, 961
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,992,961,523, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
992:2x 2x 2x 2x 2x 31
961:31x 31
523:523
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 31 = 124
Therefore, the value for common factors is 124.
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 = 337041550976/(1x124)
LCM = 337041550976/124
LCM = 2718077024
Thus, we can understand that the LCM of 676,992,961,523 is 2718077024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 992, 961, 523
1. What is the LCM of 676, 992, 961, 523?
Answer: LCM of 676, 992, 961, 523 is 2718077024.
2. How to calculate the LCM of 676, 992, 961, 523?
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 676, 992, 961, 523.
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}.