LCM of 736, 579, 720, 731, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 579, 720, 731, 342 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 736, 579, 720, 731, 342. So, keep reading to learn more.
Given numbers are 736,579,720,731,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,579,720,731,342 is 88780710240.
Find LCM of 736,579,720,731,342 with Prime Factorization
| 2 | 736, 579, 720, 731, 342 |
| 2 | 368, 579, 360, 731, 171 |
| 2 | 184, 579, 180, 731, 171 |
| 2 | 92, 579, 90, 731, 171 |
| 3 | 46, 579, 45, 731, 171 |
| 3 | 46, 193, 15, 731, 57 |
| 46, 193, 5, 731, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 46 x 193 x 5 x 731 x 19 = 88780710240
Therefore, the lowest common multiple of 736,579,720,731,342 is 88780710240.
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.
736 x 579 x 720 x 731 x 342 = 76706533647360
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
579 : 1, 3, 193, 579
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
731 : 1, 17, 43, 731
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,579,720,731,342, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
579:3x 193
720:2x 2x 2x 2x 3x 3x 5
731:17x 43
342:2x 3x 3x 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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 76706533647360/(1x864)
LCM = 76706533647360/864
LCM = 88780710240
Thus, we can understand that the LCM of 736,579,720,731,342 is 88780710240.
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FAQs on LCM of 736, 579, 720, 731, 342
1. What is the LCM of 736, 579, 720, 731, 342?
Answer: LCM of 736, 579, 720, 731, 342 is 88780710240.
2. How to calculate the LCM of 736, 579, 720, 731, 342?
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 736, 579, 720, 731, 342.
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}.