LCM of 567, 360, 693, 298, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 360, 693, 298, 696 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 567, 360, 693, 298, 696. So, keep reading to learn more.
Given numbers are 567,360,693,298,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,360,693,298,696 is 1078003080.
Find LCM of 567,360,693,298,696 with Prime Factorization
| 2 | 567, 360, 693, 298, 696 |
| 2 | 567, 180, 693, 149, 348 |
| 2 | 567, 90, 693, 149, 174 |
| 3 | 567, 45, 693, 149, 87 |
| 3 | 189, 15, 231, 149, 29 |
| 7 | 63, 5, 77, 149, 29 |
| 9, 5, 11, 149, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 9 x 5 x 11 x 149 x 29 = 1078003080
Therefore, the lowest common multiple of 567,360,693,298,696 is 1078003080.
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.
567 x 360 x 693 x 298 x 696 = 29338931825280
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
298 : 1, 2, 149, 298
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,360,693,298,696, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
360:2x 2x 2x 3x 3x 5
693:3x 3x 7x 11
298:2x 149
696:2x 2x 2x 3x 29
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 3x 3x 3x 3x 7 = 27216
Therefore, the value for common factors is 27216.
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 = 29338931825280/(1x27216)
LCM = 29338931825280/27216
LCM = 1078003080
Thus, we can understand that the LCM of 567,360,693,298,696 is 1078003080.
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FAQs on LCM of 567, 360, 693, 298, 696
1. What is the LCM of 567, 360, 693, 298, 696?
Answer: LCM of 567, 360, 693, 298, 696 is 1078003080.
2. How to calculate the LCM of 567, 360, 693, 298, 696?
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 567, 360, 693, 298, 696.
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}.