LCM of 917, 524, 725, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 524, 725, 448 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 917, 524, 725, 448. So, keep reading to learn more.
Given numbers are 917,524,725,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,524,725,448 is 42548800.
Find LCM of 917,524,725,448 with Prime Factorization
| 2 | 917, 524, 725, 448 |
| 2 | 917, 262, 725, 224 |
| 7 | 917, 131, 725, 112 |
| 131 | 131, 131, 725, 16 |
| 1, 1, 725, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 1 x 1 x 725 x 16 = 42548800
Therefore, the lowest common multiple of 917,524,725,448 is 42548800.
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.
917 x 524 x 725 x 448 = 156068998400
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.
917 : 1, 7, 131, 917
524 : 1, 2, 4, 131, 262, 524
725 : 1, 5, 25, 29, 145, 725
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,524,725,448, is 1.
Now, the common factors can be found like this.
917:7x 131
524:2x 2x 131
725:5x 5x 29
448:2x 2x 2x 2x 2x 2x 7
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 7x 131 = 3668
Therefore, the value for common factors is 3668.
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 = 156068998400/(1x3668)
LCM = 156068998400/3668
LCM = 42548800
Thus, we can understand that the LCM of 917,524,725,448 is 42548800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 524, 725, 448
1. What is the LCM of 917, 524, 725, 448?
Answer: LCM of 917, 524, 725, 448 is 42548800.
2. How to calculate the LCM of 917, 524, 725, 448?
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 917, 524, 725, 448.
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}.