LCM of 845, 875, 363, 575, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 875, 363, 575, 430 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 845, 875, 363, 575, 430. So, keep reading to learn more.
Given numbers are 845,875,363,575,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,875,363,575,430 is 106176320250.
Find LCM of 845,875,363,575,430 with Prime Factorization
| 5 | 845, 875, 363, 575, 430 |
| 5 | 169, 175, 363, 115, 86 |
| 169, 35, 363, 23, 86 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 169 x 35 x 363 x 23 x 86 = 106176320250
Therefore, the lowest common multiple of 845,875,363,575,430 is 106176320250.
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.
845 x 875 x 363 x 575 x 430 = 66360200156250
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.
845 : 1, 5, 13, 65, 169, 845
875 : 1, 5, 7, 25, 35, 125, 175, 875
363 : 1, 3, 11, 33, 121, 363
575 : 1, 5, 23, 25, 115, 575
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,875,363,575,430, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
875:5x 5x 5x 7
363:3x 11x 11
575:5x 5x 23
430:2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 5 = 625
Therefore, the value for common factors is 625.
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 = 66360200156250/(1x625)
LCM = 66360200156250/625
LCM = 106176320250
Thus, we can understand that the LCM of 845,875,363,575,430 is 106176320250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 875, 363, 575, 430
1. What is the LCM of 845, 875, 363, 575, 430?
Answer: LCM of 845, 875, 363, 575, 430 is 106176320250.
2. How to calculate the LCM of 845, 875, 363, 575, 430?
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 845, 875, 363, 575, 430.
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}.