LCM of 682, 340, 952, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 340, 952, 667 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, 340, 952, 667. So, keep reading to learn more.
Given numbers are 682,340,952,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,340,952,667 is 1082647720.
Find LCM of 682,340,952,667 with Prime Factorization
| 2 | 682, 340, 952, 667 |
| 2 | 341, 170, 476, 667 |
| 17 | 341, 85, 238, 667 |
| 341, 5, 14, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 341 x 5 x 14 x 667 = 1082647720
Therefore, the lowest common multiple of 682,340,952,667 is 1082647720.
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 340 x 952 x 667 = 147240089920
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,340,952,667, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
340:2x 2x 5x 17
952:2x 2x 2x 7x 17
667:23x 29
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 17 = 136
Therefore, the value for common factors is 136.
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 = 147240089920/(1x136)
LCM = 147240089920/136
LCM = 1082647720
Thus, we can understand that the LCM of 682,340,952,667 is 1082647720.
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FAQs on LCM of 682, 340, 952, 667
1. What is the LCM of 682, 340, 952, 667?
Answer: LCM of 682, 340, 952, 667 is 1082647720.
2. How to calculate the LCM of 682, 340, 952, 667?
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, 340, 952, 667.
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}.