LCM of 668, 702, 998, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 702, 998, 691 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 668, 702, 998, 691. So, keep reading to learn more.
Given numbers are 668,702,998,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,702,998,691 is 80846676612.
Find LCM of 668,702,998,691 with Prime Factorization
| 2 | 668, 702, 998, 691 |
| 334, 351, 499, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 334 x 351 x 499 x 691 = 80846676612
Therefore, the lowest common multiple of 668,702,998,691 is 80846676612.
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.
668 x 702 x 998 x 691 = 323386706448
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.
668 : 1, 2, 4, 167, 334, 668
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
998 : 1, 2, 499, 998
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,702,998,691, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
702:2x 3x 3x 3x 13
998:2x 499
691:691
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 323386706448/(1x4)
LCM = 323386706448/4
LCM = 80846676612
Thus, we can understand that the LCM of 668,702,998,691 is 80846676612.
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FAQs on LCM of 668, 702, 998, 691
1. What is the LCM of 668, 702, 998, 691?
Answer: LCM of 668, 702, 998, 691 is 80846676612.
2. How to calculate the LCM of 668, 702, 998, 691?
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 668, 702, 998, 691.
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}.