LCM of 688, 434, 516, 556, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 434, 516, 556, 910 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 688, 434, 516, 556, 910. So, keep reading to learn more.
Given numbers are 688,434,516,556,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,434,516,556,910 is 4046668080.
Find LCM of 688,434,516,556,910 with Prime Factorization
| 2 | 688, 434, 516, 556, 910 |
| 2 | 344, 217, 258, 278, 455 |
| 7 | 172, 217, 129, 139, 455 |
| 43 | 172, 31, 129, 139, 65 |
| 4, 31, 3, 139, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 4 x 31 x 3 x 139 x 65 = 4046668080
Therefore, the lowest common multiple of 688,434,516,556,910 is 4046668080.
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.
688 x 434 x 516 x 556 x 910 = 77955013893120
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
434 : 1, 2, 7, 14, 31, 62, 217, 434
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
556 : 1, 2, 4, 139, 278, 556
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,434,516,556,910, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
434:2x 7x 31
516:2x 2x 3x 43
556:2x 2x 139
910:2x 5x 7x 13
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 7x 43 = 9632
Therefore, the value for common factors is 9632.
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 = 77955013893120/(2x9632)
LCM = 77955013893120/19264
LCM = 4046668080
Thus, we can understand that the LCM of 688,434,516,556,910 is 4046668080.
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FAQs on LCM of 688, 434, 516, 556, 910
1. What is the LCM of 688, 434, 516, 556, 910?
Answer: LCM of 688, 434, 516, 556, 910 is 4046668080.
2. How to calculate the LCM of 688, 434, 516, 556, 910?
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 688, 434, 516, 556, 910.
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}.