LCM of 690, 975, 939, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 975, 939, 842 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 690, 975, 939, 842. So, keep reading to learn more.
Given numbers are 690,975,939,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,975,939,842 is 5910019050.
Find LCM of 690,975,939,842 with Prime Factorization
| 2 | 690, 975, 939, 842 |
| 3 | 345, 975, 939, 421 |
| 5 | 115, 325, 313, 421 |
| 23, 65, 313, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 65 x 313 x 421 = 5910019050
Therefore, the lowest common multiple of 690,975,939,842 is 5910019050.
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.
690 x 975 x 939 x 842 = 531901714500
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
939 : 1, 3, 313, 939
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,975,939,842, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
975:3x 5x 5x 13
939:3x 313
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 531901714500/(1x90)
LCM = 531901714500/90
LCM = 5910019050
Thus, we can understand that the LCM of 690,975,939,842 is 5910019050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 975, 939, 842
1. What is the LCM of 690, 975, 939, 842?
Answer: LCM of 690, 975, 939, 842 is 5910019050.
2. How to calculate the LCM of 690, 975, 939, 842?
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 690, 975, 939, 842.
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}.