LCM of 905, 575, 725, 840, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 575, 725, 840, 915 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 905, 575, 725, 840, 915. So, keep reading to learn more.
Given numbers are 905,575,725,840,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,575,725,840,915 is 30930257400.
Find LCM of 905,575,725,840,915 with Prime Factorization
| 3 | 905, 575, 725, 840, 915 |
| 5 | 905, 575, 725, 280, 305 |
| 5 | 181, 115, 145, 56, 61 |
| 181, 23, 29, 56, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 181 x 23 x 29 x 56 x 61 = 30930257400
Therefore, the lowest common multiple of 905,575,725,840,915 is 30930257400.
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.
905 x 575 x 725 x 840 x 915 = 289971163125000
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.
905 : 1, 5, 181, 905
575 : 1, 5, 23, 25, 115, 575
725 : 1, 5, 25, 29, 145, 725
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
915 : 1, 3, 5, 15, 61, 183, 305, 915
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,575,725,840,915, is 5.
Now, the common factors can be found like this.
905:5x 181
575:5x 5x 23
725:5x 5x 29
840:2x 2x 2x 3x 5x 7
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 5 = 1875
Therefore, the value for common factors is 1875.
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 = 289971163125000/(5x1875)
LCM = 289971163125000/9375
LCM = 30930257400
Thus, we can understand that the LCM of 905,575,725,840,915 is 30930257400.
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FAQs on LCM of 905, 575, 725, 840, 915
1. What is the LCM of 905, 575, 725, 840, 915?
Answer: LCM of 905, 575, 725, 840, 915 is 30930257400.
2. How to calculate the LCM of 905, 575, 725, 840, 915?
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 905, 575, 725, 840, 915.
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}.