LCM of 689, 374, 403, 110, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 374, 403, 110, 693 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 689, 374, 403, 110, 693. So, keep reading to learn more.
Given numbers are 689,374,403,110,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,374,403,110,693 is 2516303790.
Find LCM of 689,374,403,110,693 with Prime Factorization
| 2 | 689, 374, 403, 110, 693 |
| 11 | 689, 187, 403, 55, 693 |
| 13 | 689, 17, 403, 5, 63 |
| 53, 17, 31, 5, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 53 x 17 x 31 x 5 x 63 = 2516303790
Therefore, the lowest common multiple of 689,374,403,110,693 is 2516303790.
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.
689 x 374 x 403 x 110 x 693 = 7916291723340
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.
689 : 1, 13, 53, 689
374 : 1, 2, 11, 17, 22, 34, 187, 374
403 : 1, 13, 31, 403
110 : 1, 2, 5, 10, 11, 22, 55, 110
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,374,403,110,693, is 1.
Now, the common factors can be found like this.
689:13x 53
374:2x 11x 17
403:13x 31
110:2x 5x 11
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 13 = 3146
Therefore, the value for common factors is 3146.
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 = 7916291723340/(1x3146)
LCM = 7916291723340/3146
LCM = 2516303790
Thus, we can understand that the LCM of 689,374,403,110,693 is 2516303790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 374, 403, 110, 693
1. What is the LCM of 689, 374, 403, 110, 693?
Answer: LCM of 689, 374, 403, 110, 693 is 2516303790.
2. How to calculate the LCM of 689, 374, 403, 110, 693?
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 689, 374, 403, 110, 693.
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}.