Find the LCM of 873, 302, 995, 595, 556 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 873, 302, 995, 595, 556. So, keep reading to learn more.
Given numbers are 873,302,995,595,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,302,995,595,556 is 8678327287140.
Find LCM of 873,302,995,595,556 with Prime Factorization
2 | 873, 302, 995, 595, 556 |
5 | 873, 151, 995, 595, 278 |
873, 151, 199, 119, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 873 x 151 x 199 x 119 x 278 = 8678327287140
Therefore, the lowest common multiple of 873,302,995,595,556 is 8678327287140.
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.
873 x 302 x 995 x 595 x 556 = 86783272871400
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.
873 : 1, 3, 9, 97, 291, 873
302 : 1, 2, 151, 302
995 : 1, 5, 199, 995
595 : 1, 5, 7, 17, 35, 85, 119, 595
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,302,995,595,556, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
302:2x 151
995:5x 199
595:5x 7x 17
556:2x 2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 86783272871400/(1x10)
LCM = 86783272871400/10
LCM = 8678327287140
Thus, we can understand that the LCM of 873,302,995,595,556 is 8678327287140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 873, 302, 995, 595, 556?
Answer: LCM of 873, 302, 995, 595, 556 is 8678327287140.
2. How to calculate the LCM of 873, 302, 995, 595, 556?
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 873, 302, 995, 595, 556.
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}.