LCM of 118, 560, 525, 524, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 560, 525, 524, 231 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 118, 560, 525, 524, 231. So, keep reading to learn more.
Given numbers are 118,560,525,524,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,560,525,524,231 is 714159600.
Find LCM of 118,560,525,524,231 with Prime Factorization
| 2 | 118, 560, 525, 524, 231 |
| 2 | 59, 280, 525, 262, 231 |
| 3 | 59, 140, 525, 131, 231 |
| 5 | 59, 140, 175, 131, 77 |
| 7 | 59, 28, 35, 131, 77 |
| 59, 4, 5, 131, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 59 x 4 x 5 x 131 x 11 = 714159600
Therefore, the lowest common multiple of 118,560,525,524,231 is 714159600.
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.
118 x 560 x 525 x 524 x 231 = 4199258448000
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.
118 : 1, 2, 59, 118
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
524 : 1, 2, 4, 131, 262, 524
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,560,525,524,231, is 1.
Now, the common factors can be found like this.
118:2x 59
560:2x 2x 2x 2x 5x 7
525:3x 5x 5x 7
524:2x 2x 131
231:3x 7x 11
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 5x 7x 7 = 5880
Therefore, the value for common factors is 5880.
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 = 4199258448000/(1x5880)
LCM = 4199258448000/5880
LCM = 714159600
Thus, we can understand that the LCM of 118,560,525,524,231 is 714159600.
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FAQs on LCM of 118, 560, 525, 524, 231
1. What is the LCM of 118, 560, 525, 524, 231?
Answer: LCM of 118, 560, 525, 524, 231 is 714159600.
2. How to calculate the LCM of 118, 560, 525, 524, 231?
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 118, 560, 525, 524, 231.
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}.