Find the LCM of 995, 588, 910, 598 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 995, 588, 910, 598. So, keep reading to learn more.
Given numbers are 995,588,910,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,588,910,598 is 174932940.
Find LCM of 995,588,910,598 with Prime Factorization
2 | 995, 588, 910, 598 |
5 | 995, 294, 455, 299 |
7 | 199, 294, 91, 299 |
13 | 199, 42, 13, 299 |
199, 42, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 199 x 42 x 1 x 23 = 174932940
Therefore, the lowest common multiple of 995,588,910,598 is 174932940.
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.
995 x 588 x 910 x 598 = 318377950800
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.
995 : 1, 5, 199, 995
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,588,910,598, is 1.
Now, the common factors can be found like this.
995:5x 199
588:2x 2x 3x 7x 7
910:2x 5x 7x 13
598:2x 13x 23
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 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 318377950800/(1x1820)
LCM = 318377950800/1820
LCM = 174932940
Thus, we can understand that the LCM of 995,588,910,598 is 174932940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 588, 910, 598?
Answer: LCM of 995, 588, 910, 598 is 174932940.
2. How to calculate the LCM of 995, 588, 910, 598?
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 995, 588, 910, 598.
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}.