LCM of 434, 656, 512, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 656, 512, 684 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 434, 656, 512, 684. So, keep reading to learn more.
Given numbers are 434,656,512,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,656,512,684 is 778950144.
Find LCM of 434,656,512,684 with Prime Factorization
| 2 | 434, 656, 512, 684 |
| 2 | 217, 328, 256, 342 |
| 2 | 217, 164, 128, 171 |
| 2 | 217, 82, 64, 171 |
| 217, 41, 32, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 217 x 41 x 32 x 171 = 778950144
Therefore, the lowest common multiple of 434,656,512,684 is 778950144.
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.
434 x 656 x 512 x 684 = 99705618432
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,656,512,684, is 2.
Now, the common factors can be found like this.
434:2x 7x 31
656:2x 2x 2x 2x 41
512:2x 2x 2x 2x 2x 2x 2x 2x 2
684:2x 2x 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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 99705618432/(2x64)
LCM = 99705618432/128
LCM = 778950144
Thus, we can understand that the LCM of 434,656,512,684 is 778950144.
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FAQs on LCM of 434, 656, 512, 684
1. What is the LCM of 434, 656, 512, 684?
Answer: LCM of 434, 656, 512, 684 is 778950144.
2. How to calculate the LCM of 434, 656, 512, 684?
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 434, 656, 512, 684.
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}.