LCM of 676, 208, 702, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 208, 702, 640 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, 208, 702, 640. So, keep reading to learn more.
Given numbers are 676,208,702,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,208,702,640 is 2920320.
Find LCM of 676,208,702,640 with Prime Factorization
| 2 | 676, 208, 702, 640 |
| 2 | 338, 104, 351, 320 |
| 2 | 169, 52, 351, 160 |
| 2 | 169, 26, 351, 80 |
| 13 | 169, 13, 351, 40 |
| 1, 13, 27, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 1 x 13 x 27 x 40 = 2920320
Therefore, the lowest common multiple of 676,208,702,640 is 2920320.
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 208 x 702 x 640 = 63172362240
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,208,702,640, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
208:2x 2x 2x 2x 13
702:2x 3x 3x 3x 13
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 13x 13 = 10816
Therefore, the value for common factors is 10816.
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 = 63172362240/(2x10816)
LCM = 63172362240/21632
LCM = 2920320
Thus, we can understand that the LCM of 676,208,702,640 is 2920320.
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FAQs on LCM of 676, 208, 702, 640
1. What is the LCM of 676, 208, 702, 640?
Answer: LCM of 676, 208, 702, 640 is 2920320.
2. How to calculate the LCM of 676, 208, 702, 640?
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, 208, 702, 640.
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}.