LCM of 434, 512, 778, 771, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 512, 778, 771, 918 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, 512, 778, 771, 918. So, keep reading to learn more.
Given numbers are 434,512,778,771,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,512,778,771,918 is 5098296688128.
Find LCM of 434,512,778,771,918 with Prime Factorization
| 2 | 434, 512, 778, 771, 918 |
| 3 | 217, 256, 389, 771, 459 |
| 217, 256, 389, 257, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 217 x 256 x 389 x 257 x 153 = 5098296688128
Therefore, the lowest common multiple of 434,512,778,771,918 is 5098296688128.
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 512 x 778 x 771 x 918 = 122359120515072
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
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
778 : 1, 2, 389, 778
771 : 1, 3, 257, 771
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,512,778,771,918, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
512:2x 2x 2x 2x 2x 2x 2x 2x 2
778:2x 389
771:3x 257
918:2x 3x 3x 3x 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 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 122359120515072/(1x24)
LCM = 122359120515072/24
LCM = 5098296688128
Thus, we can understand that the LCM of 434,512,778,771,918 is 5098296688128.
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FAQs on LCM of 434, 512, 778, 771, 918
1. What is the LCM of 434, 512, 778, 771, 918?
Answer: LCM of 434, 512, 778, 771, 918 is 5098296688128.
2. How to calculate the LCM of 434, 512, 778, 771, 918?
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, 512, 778, 771, 918.
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}.