LCM of 168, 696, 499, 833, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 696, 499, 833, 722 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 168, 696, 499, 833, 722. So, keep reading to learn more.
Given numbers are 168,696,499,833,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,696,499,833,722 is 104438827752.
Find LCM of 168,696,499,833,722 with Prime Factorization
| 2 | 168, 696, 499, 833, 722 |
| 2 | 84, 348, 499, 833, 361 |
| 2 | 42, 174, 499, 833, 361 |
| 3 | 21, 87, 499, 833, 361 |
| 7 | 7, 29, 499, 833, 361 |
| 1, 29, 499, 119, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 1 x 29 x 499 x 119 x 361 = 104438827752
Therefore, the lowest common multiple of 168,696,499,833,722 is 104438827752.
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.
168 x 696 x 499 x 833 x 722 = 35091446124672
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
499 : 1, 499
833 : 1, 7, 17, 49, 119, 833
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,696,499,833,722, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
696:2x 2x 2x 3x 29
499:499
833:7x 7x 17
722:2x 19x 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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 35091446124672/(1x336)
LCM = 35091446124672/336
LCM = 104438827752
Thus, we can understand that the LCM of 168,696,499,833,722 is 104438827752.
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FAQs on LCM of 168, 696, 499, 833, 722
1. What is the LCM of 168, 696, 499, 833, 722?
Answer: LCM of 168, 696, 499, 833, 722 is 104438827752.
2. How to calculate the LCM of 168, 696, 499, 833, 722?
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 168, 696, 499, 833, 722.
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}.