LCM of 710, 400, 523, 486, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 400, 523, 486, 380 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 710, 400, 523, 486, 380. So, keep reading to learn more.
Given numbers are 710,400,523,486,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,400,523,486,380 is 68577224400.
Find LCM of 710,400,523,486,380 with Prime Factorization
| 2 | 710, 400, 523, 486, 380 |
| 2 | 355, 200, 523, 243, 190 |
| 5 | 355, 100, 523, 243, 95 |
| 71, 20, 523, 243, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 71 x 20 x 523 x 243 x 19 = 68577224400
Therefore, the lowest common multiple of 710,400,523,486,380 is 68577224400.
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.
710 x 400 x 523 x 486 x 380 = 27430889760000
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.
710 : 1, 2, 5, 10, 71, 142, 355, 710
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
523 : 1, 523
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,400,523,486,380, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
400:2x 2x 2x 2x 5x 5
523:523
486:2x 3x 3x 3x 3x 3
380:2x 2x 5x 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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 27430889760000/(1x400)
LCM = 27430889760000/400
LCM = 68577224400
Thus, we can understand that the LCM of 710,400,523,486,380 is 68577224400.
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FAQs on LCM of 710, 400, 523, 486, 380
1. What is the LCM of 710, 400, 523, 486, 380?
Answer: LCM of 710, 400, 523, 486, 380 is 68577224400.
2. How to calculate the LCM of 710, 400, 523, 486, 380?
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 710, 400, 523, 486, 380.
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}.