Find the LCM of 872, 109, 634, 654 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 872, 109, 634, 654. So, keep reading to learn more.
Given numbers are 872,109,634,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,109,634,654 is 829272.
Find LCM of 872,109,634,654 with Prime Factorization
2 | 872, 109, 634, 654 |
109 | 436, 109, 317, 327 |
4, 1, 317, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 4 x 1 x 317 x 3 = 829272
Therefore, the lowest common multiple of 872,109,634,654 is 829272.
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.
872 x 109 x 634 x 654 = 39410322528
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
109 : 1, 109
634 : 1, 2, 317, 634
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,109,634,654, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
109:109
634:2x 317
654:2x 3x 109
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 109x 109 = 47524
Therefore, the value for common factors is 47524.
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 = 39410322528/(1x47524)
LCM = 39410322528/47524
LCM = 829272
Thus, we can understand that the LCM of 872,109,634,654 is 829272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 872, 109, 634, 654?
Answer: LCM of 872, 109, 634, 654 is 829272.
2. How to calculate the LCM of 872, 109, 634, 654?
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 872, 109, 634, 654.
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}.