LCM of 674, 378, 460, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 378, 460, 513 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, 378, 460, 513. So, keep reading to learn more.
Given numbers are 674,378,460,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,378,460,513 is 556676820.
Find LCM of 674,378,460,513 with Prime Factorization
| 2 | 674, 378, 460, 513 |
| 3 | 337, 189, 230, 513 |
| 3 | 337, 63, 230, 171 |
| 3 | 337, 21, 230, 57 |
| 337, 7, 230, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 337 x 7 x 230 x 19 = 556676820
Therefore, the lowest common multiple of 674,378,460,513 is 556676820.
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 378 x 460 x 513 = 60121096560
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,378,460,513, is 1.
Now, the common factors can be found like this.
674:2x 337
378:2x 3x 3x 3x 7
460:2x 2x 5x 23
513:3x 3x 3x 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 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 60121096560/(1x108)
LCM = 60121096560/108
LCM = 556676820
Thus, we can understand that the LCM of 674,378,460,513 is 556676820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 378, 460, 513
1. What is the LCM of 674, 378, 460, 513?
Answer: LCM of 674, 378, 460, 513 is 556676820.
2. How to calculate the LCM of 674, 378, 460, 513?
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, 378, 460, 513.
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}.