LCM of 674, 682, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 682, 674 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 674, 682, 674. So, keep reading to learn more.
Given numbers are 674,682,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,682,674 is 229834.
Find LCM of 674,682,674 with Prime Factorization
| 2 | 674, 682, 674 |
| 337 | 337, 341, 337 |
| 1, 341, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 1 x 341 x 1 = 229834
Therefore, the lowest common multiple of 674,682,674 is 229834.
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.
674 x 682 x 674 = 309816232
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.
674 : 1, 2, 337, 674
682 : 1, 2, 11, 22, 31, 62, 341, 682
674 : 1, 2, 337, 674
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,682,674, is 2.
Now, the common factors can be found like this.
674:2x 337
682:2x 11x 31
674:2x 337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 337 = 674
Therefore, the value for common factors is 674.
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 = 309816232/(2x674)
LCM = 309816232/1348
LCM = 229834
Thus, we can understand that the LCM of 674,682,674 is 229834.
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FAQs on LCM of 674, 682, 674
1. What is the LCM of 674, 682, 674?
Answer: LCM of 674, 682, 674 is 229834.
2. How to calculate the LCM of 674, 682, 674?
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 674, 682, 674.
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}.