LCM of 575, 777, 659, 219, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 777, 659, 219, 875 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 575, 777, 659, 219, 875. So, keep reading to learn more.
Given numbers are 575,777,659,219,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,777,659,219,875 is 107465024625.
Find LCM of 575,777,659,219,875 with Prime Factorization
| 3 | 575, 777, 659, 219, 875 |
| 5 | 575, 259, 659, 73, 875 |
| 5 | 115, 259, 659, 73, 175 |
| 7 | 23, 259, 659, 73, 35 |
| 23, 37, 659, 73, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 23 x 37 x 659 x 73 x 5 = 107465024625
Therefore, the lowest common multiple of 575,777,659,219,875 is 107465024625.
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.
575 x 777 x 659 x 219 x 875 = 56419137928125
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.
575 : 1, 5, 23, 25, 115, 575
777 : 1, 3, 7, 21, 37, 111, 259, 777
659 : 1, 659
219 : 1, 3, 73, 219
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,777,659,219,875, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
777:3x 7x 37
659:659
219:3x 73
875:5x 5x 5x 7
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 7 = 525
Therefore, the value for common factors is 525.
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 = 56419137928125/(1x525)
LCM = 56419137928125/525
LCM = 107465024625
Thus, we can understand that the LCM of 575,777,659,219,875 is 107465024625.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 575, 777, 659, 219, 875
1. What is the LCM of 575, 777, 659, 219, 875?
Answer: LCM of 575, 777, 659, 219, 875 is 107465024625.
2. How to calculate the LCM of 575, 777, 659, 219, 875?
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 575, 777, 659, 219, 875.
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}.