LCM of 828, 688, 342, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 688, 342, 817 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 828, 688, 342, 817. So, keep reading to learn more.
Given numbers are 828,688,342,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,688,342,817 is 2705904.
Find LCM of 828,688,342,817 with Prime Factorization
| 2 | 828, 688, 342, 817 |
| 2 | 414, 344, 171, 817 |
| 3 | 207, 172, 171, 817 |
| 3 | 69, 172, 57, 817 |
| 19 | 23, 172, 19, 817 |
| 43 | 23, 172, 1, 43 |
| 23, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 43 x 23 x 4 x 1 x 1 = 2705904
Therefore, the lowest common multiple of 828,688,342,817 is 2705904.
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.
828 x 688 x 342 x 817 = 159172096896
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,688,342,817, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
688:2x 2x 2x 2x 43
342:2x 3x 3x 19
817:19x 43
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 3x 3x 19x 43 = 58824
Therefore, the value for common factors is 58824.
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 = 159172096896/(1x58824)
LCM = 159172096896/58824
LCM = 2705904
Thus, we can understand that the LCM of 828,688,342,817 is 2705904.
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FAQs on LCM of 828, 688, 342, 817
1. What is the LCM of 828, 688, 342, 817?
Answer: LCM of 828, 688, 342, 817 is 2705904.
2. How to calculate the LCM of 828, 688, 342, 817?
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 828, 688, 342, 817.
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}.