LCM of 676, 696, 676, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 696, 676, 802 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, 696, 676, 802. So, keep reading to learn more.
Given numbers are 676,696,676,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,696,676,802 is 47167224.
Find LCM of 676,696,676,802 with Prime Factorization
| 2 | 676, 696, 676, 802 |
| 2 | 338, 348, 338, 401 |
| 13 | 169, 174, 169, 401 |
| 13 | 13, 174, 13, 401 |
| 1, 174, 1, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 1 x 174 x 1 x 401 = 47167224
Therefore, the lowest common multiple of 676,696,676,802 is 47167224.
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 696 x 676 x 802 = 255080347392
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
802 : 1, 2, 401, 802
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,696,676,802, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
696:2x 2x 2x 3x 29
676:2x 2x 13x 13
802:2x 401
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 255080347392/(2x2704)
LCM = 255080347392/5408
LCM = 47167224
Thus, we can understand that the LCM of 676,696,676,802 is 47167224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 696, 676, 802
1. What is the LCM of 676, 696, 676, 802?
Answer: LCM of 676, 696, 676, 802 is 47167224.
2. How to calculate the LCM of 676, 696, 676, 802?
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, 696, 676, 802.
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}.