LCM of 682, 159, 119, 546, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 159, 119, 546, 663 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, 159, 119, 546, 663. So, keep reading to learn more.
Given numbers are 682,159,119,546,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,159,119,546,663 is 167753586.
Find LCM of 682,159,119,546,663 with Prime Factorization
| 2 | 682, 159, 119, 546, 663 |
| 3 | 341, 159, 119, 273, 663 |
| 7 | 341, 53, 119, 91, 221 |
| 13 | 341, 53, 17, 13, 221 |
| 17 | 341, 53, 17, 1, 17 |
| 341, 53, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 341 x 53 x 1 x 1 x 1 = 167753586
Therefore, the lowest common multiple of 682,159,119,546,663 is 167753586.
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 159 x 119 x 546 x 663 = 4671266355756
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
159 : 1, 3, 53, 159
119 : 1, 7, 17, 119
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,159,119,546,663, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
159:3x 53
119:7x 17
546:2x 3x 7x 13
663:3x 13x 17
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 3x 7x 13x 17 = 27846
Therefore, the value for common factors is 27846.
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 = 4671266355756/(1x27846)
LCM = 4671266355756/27846
LCM = 167753586
Thus, we can understand that the LCM of 682,159,119,546,663 is 167753586.
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FAQs on LCM of 682, 159, 119, 546, 663
1. What is the LCM of 682, 159, 119, 546, 663?
Answer: LCM of 682, 159, 119, 546, 663 is 167753586.
2. How to calculate the LCM of 682, 159, 119, 546, 663?
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, 159, 119, 546, 663.
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}.