LCM of 596, 418, 682, 543, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 418, 682, 543, 967 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 596, 418, 682, 543, 967. So, keep reading to learn more.
Given numbers are 596,418,682,543,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,418,682,543,967 is 2027591880204.
Find LCM of 596,418,682,543,967 with Prime Factorization
| 2 | 596, 418, 682, 543, 967 |
| 11 | 298, 209, 341, 543, 967 |
| 298, 19, 31, 543, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 298 x 19 x 31 x 543 x 967 = 2027591880204
Therefore, the lowest common multiple of 596,418,682,543,967 is 2027591880204.
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.
596 x 418 x 682 x 543 x 967 = 89214042728976
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.
596 : 1, 2, 4, 149, 298, 596
418 : 1, 2, 11, 19, 22, 38, 209, 418
682 : 1, 2, 11, 22, 31, 62, 341, 682
543 : 1, 3, 181, 543
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,418,682,543,967, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
418:2x 11x 19
682:2x 11x 31
543:3x 181
967:967
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 11 = 44
Therefore, the value for common factors is 44.
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 = 89214042728976/(1x44)
LCM = 89214042728976/44
LCM = 2027591880204
Thus, we can understand that the LCM of 596,418,682,543,967 is 2027591880204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 596, 418, 682, 543, 967
1. What is the LCM of 596, 418, 682, 543, 967?
Answer: LCM of 596, 418, 682, 543, 967 is 2027591880204.
2. How to calculate the LCM of 596, 418, 682, 543, 967?
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 596, 418, 682, 543, 967.
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}.