LCM of 748, 286, 560, 611, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 286, 560, 611, 817 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 748, 286, 560, 611, 817. So, keep reading to learn more.
Given numbers are 748,286,560,611,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,286,560,611,817 is 52274862640.
Find LCM of 748,286,560,611,817 with Prime Factorization
| 2 | 748, 286, 560, 611, 817 |
| 2 | 374, 143, 280, 611, 817 |
| 11 | 187, 143, 140, 611, 817 |
| 13 | 17, 13, 140, 611, 817 |
| 17, 1, 140, 47, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 1 x 140 x 47 x 817 = 52274862640
Therefore, the lowest common multiple of 748,286,560,611,817 is 52274862640.
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.
748 x 286 x 560 x 611 x 817 = 59802442860160
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
286 : 1, 2, 11, 13, 22, 26, 143, 286
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
611 : 1, 13, 47, 611
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,286,560,611,817, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
286:2x 11x 13
560:2x 2x 2x 2x 5x 7
611:13x 47
817:19x 43
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 59802442860160/(1x1144)
LCM = 59802442860160/1144
LCM = 52274862640
Thus, we can understand that the LCM of 748,286,560,611,817 is 52274862640.
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FAQs on LCM of 748, 286, 560, 611, 817
1. What is the LCM of 748, 286, 560, 611, 817?
Answer: LCM of 748, 286, 560, 611, 817 is 52274862640.
2. How to calculate the LCM of 748, 286, 560, 611, 817?
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 748, 286, 560, 611, 817.
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}.