Find the LCM of 725, 194, 559, 533, 473 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 725, 194, 559, 533, 473. So, keep reading to learn more.
Given numbers are 725,194,559,533,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,194,559,533,473 is 35459130850.
Find LCM of 725,194,559,533,473 with Prime Factorization
13 | 725, 194, 559, 533, 473 |
43 | 725, 194, 43, 41, 473 |
725, 194, 1, 41, 11 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 725 x 194 x 1 x 41 x 11 = 35459130850
Therefore, the lowest common multiple of 725,194,559,533,473 is 35459130850.
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.
725 x 194 x 559 x 533 x 473 = 19821654145150
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.
725 : 1, 5, 25, 29, 145, 725
194 : 1, 2, 97, 194
559 : 1, 13, 43, 559
533 : 1, 13, 41, 533
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,194,559,533,473, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
194:2x 97
559:13x 43
533:13x 41
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 19821654145150/(1x559)
LCM = 19821654145150/559
LCM = 35459130850
Thus, we can understand that the LCM of 725,194,559,533,473 is 35459130850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 194, 559, 533, 473?
Answer: LCM of 725, 194, 559, 533, 473 is 35459130850.
2. How to calculate the LCM of 725, 194, 559, 533, 473?
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 725, 194, 559, 533, 473.
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}.