LCM of 727, 280, 500, 710, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 727, 280, 500, 710, 752 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 727, 280, 500, 710, 752. So, keep reading to learn more.
Given numbers are 727,280,500,710,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,280,500,710,752 is 33963986000.
Find LCM of 727,280,500,710,752 with Prime Factorization
| 2 | 727, 280, 500, 710, 752 |
| 2 | 727, 140, 250, 355, 376 |
| 2 | 727, 70, 125, 355, 188 |
| 5 | 727, 35, 125, 355, 94 |
| 727, 7, 25, 71, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 727 x 7 x 25 x 71 x 94 = 33963986000
Therefore, the lowest common multiple of 727,280,500,710,752 is 33963986000.
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.
727 x 280 x 500 x 710 x 752 = 54342377600000
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.
727 : 1, 727
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
710 : 1, 2, 5, 10, 71, 142, 355, 710
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,280,500,710,752, is 1.
Now, the common factors can be found like this.
727:727
280:2x 2x 2x 5x 7
500:2x 2x 5x 5x 5
710:2x 5x 71
752:2x 2x 2x 2x 47
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 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 54342377600000/(1x1600)
LCM = 54342377600000/1600
LCM = 33963986000
Thus, we can understand that the LCM of 727,280,500,710,752 is 33963986000.
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FAQs on LCM of 727, 280, 500, 710, 752
1. What is the LCM of 727, 280, 500, 710, 752?
Answer: LCM of 727, 280, 500, 710, 752 is 33963986000.
2. How to calculate the LCM of 727, 280, 500, 710, 752?
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 727, 280, 500, 710, 752.
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}.