LCM of 107, 288, 525, 642, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 288, 525, 642, 724 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 107, 288, 525, 642, 724. So, keep reading to learn more.
Given numbers are 107,288,525,642,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,288,525,642,724 is 976096800.
Find LCM of 107,288,525,642,724 with Prime Factorization
| 2 | 107, 288, 525, 642, 724 |
| 2 | 107, 144, 525, 321, 362 |
| 3 | 107, 72, 525, 321, 181 |
| 107 | 107, 24, 175, 107, 181 |
| 1, 24, 175, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 1 x 24 x 175 x 1 x 181 = 976096800
Therefore, the lowest common multiple of 107,288,525,642,724 is 976096800.
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.
107 x 288 x 525 x 642 x 724 = 7519849747200
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.
107 : 1, 107
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
642 : 1, 2, 3, 6, 107, 214, 321, 642
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,288,525,642,724, is 1.
Now, the common factors can be found like this.
107:107
288:2x 2x 2x 2x 2x 3x 3
525:3x 5x 5x 7
642:2x 3x 107
724:2x 2x 181
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 107 = 7704
Therefore, the value for common factors is 7704.
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 = 7519849747200/(1x7704)
LCM = 7519849747200/7704
LCM = 976096800
Thus, we can understand that the LCM of 107,288,525,642,724 is 976096800.
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FAQs on LCM of 107, 288, 525, 642, 724
1. What is the LCM of 107, 288, 525, 642, 724?
Answer: LCM of 107, 288, 525, 642, 724 is 976096800.
2. How to calculate the LCM of 107, 288, 525, 642, 724?
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 107, 288, 525, 642, 724.
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}.