LCM of 480, 684, 702, 791, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 684, 702, 791, 271 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 480, 684, 702, 791, 271. So, keep reading to learn more.
Given numbers are 480,684,702,791,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,684,702,791,271 is 228731761440.
Find LCM of 480,684,702,791,271 with Prime Factorization
| 2 | 480, 684, 702, 791, 271 |
| 2 | 240, 342, 351, 791, 271 |
| 3 | 120, 171, 351, 791, 271 |
| 3 | 40, 57, 117, 791, 271 |
| 40, 19, 39, 791, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 40 x 19 x 39 x 791 x 271 = 228731761440
Therefore, the lowest common multiple of 480,684,702,791,271 is 228731761440.
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.
480 x 684 x 702 x 791 x 271 = 49406060471040
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
791 : 1, 7, 113, 791
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,684,702,791,271, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
684:2x 2x 3x 3x 19
702:2x 3x 3x 3x 13
791:7x 113
271:271
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 49406060471040/(1x216)
LCM = 49406060471040/216
LCM = 228731761440
Thus, we can understand that the LCM of 480,684,702,791,271 is 228731761440.
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FAQs on LCM of 480, 684, 702, 791, 271
1. What is the LCM of 480, 684, 702, 791, 271?
Answer: LCM of 480, 684, 702, 791, 271 is 228731761440.
2. How to calculate the LCM of 480, 684, 702, 791, 271?
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 480, 684, 702, 791, 271.
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}.