LCM of 682, 627, 865, 423, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 627, 865, 423, 760 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 682, 627, 865, 423, 760. So, keep reading to learn more.
Given numbers are 682,627,865,423,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,627,865,423,760 is 18965069640.
Find LCM of 682,627,865,423,760 with Prime Factorization
| 2 | 682, 627, 865, 423, 760 |
| 3 | 341, 627, 865, 423, 380 |
| 5 | 341, 209, 865, 141, 380 |
| 11 | 341, 209, 173, 141, 76 |
| 19 | 31, 19, 173, 141, 76 |
| 31, 1, 173, 141, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 31 x 1 x 173 x 141 x 4 = 18965069640
Therefore, the lowest common multiple of 682,627,865,423,760 is 18965069640.
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.
682 x 627 x 865 x 423 x 760 = 118910986642800
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
627 : 1, 3, 11, 19, 33, 57, 209, 627
865 : 1, 5, 173, 865
423 : 1, 3, 9, 47, 141, 423
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,627,865,423,760, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
627:3x 11x 19
865:5x 173
423:3x 3x 47
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 19 = 6270
Therefore, the value for common factors is 6270.
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 = 118910986642800/(1x6270)
LCM = 118910986642800/6270
LCM = 18965069640
Thus, we can understand that the LCM of 682,627,865,423,760 is 18965069640.
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FAQs on LCM of 682, 627, 865, 423, 760
1. What is the LCM of 682, 627, 865, 423, 760?
Answer: LCM of 682, 627, 865, 423, 760 is 18965069640.
2. How to calculate the LCM of 682, 627, 865, 423, 760?
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 682, 627, 865, 423, 760.
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}.