LCM of 688, 731, 721, 567, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 731, 721, 567, 240 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, 731, 721, 567, 240. So, keep reading to learn more.
Given numbers are 688,731,721,567,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,731,721,567,240 is 3415290480.
Find LCM of 688,731,721,567,240 with Prime Factorization
| 2 | 688, 731, 721, 567, 240 |
| 2 | 344, 731, 721, 567, 120 |
| 2 | 172, 731, 721, 567, 60 |
| 2 | 86, 731, 721, 567, 30 |
| 3 | 43, 731, 721, 567, 15 |
| 7 | 43, 731, 721, 189, 5 |
| 43 | 43, 731, 103, 27, 5 |
| 1, 17, 103, 27, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 43 x 1 x 17 x 103 x 27 x 5 = 3415290480
Therefore, the lowest common multiple of 688,731,721,567,240 is 3415290480.
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 731 x 721 x 567 x 240 = 49344116855040
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
731 : 1, 17, 43, 731
721 : 1, 7, 103, 721
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,731,721,567,240, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
731:17x 43
721:7x 103
567:3x 3x 3x 3x 7
240:2x 2x 2x 2x 3x 5
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 7x 43 = 14448
Therefore, the value for common factors is 14448.
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 = 49344116855040/(1x14448)
LCM = 49344116855040/14448
LCM = 3415290480
Thus, we can understand that the LCM of 688,731,721,567,240 is 3415290480.
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FAQs on LCM of 688, 731, 721, 567, 240
1. What is the LCM of 688, 731, 721, 567, 240?
Answer: LCM of 688, 731, 721, 567, 240 is 3415290480.
2. How to calculate the LCM of 688, 731, 721, 567, 240?
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, 731, 721, 567, 240.
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}.