LCM of 595, 392, 921, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 392, 921, 931 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 595, 392, 921, 931. So, keep reading to learn more.
Given numbers are 595,392,921,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,392,921,931 is 583066680.
Find LCM of 595,392,921,931 with Prime Factorization
| 7 | 595, 392, 921, 931 |
| 7 | 85, 56, 921, 133 |
| 85, 8, 921, 19 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 85 x 8 x 921 x 19 = 583066680
Therefore, the lowest common multiple of 595,392,921,931 is 583066680.
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.
595 x 392 x 921 x 931 = 199991871240
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
921 : 1, 3, 307, 921
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,392,921,931, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
392:2x 2x 2x 7x 7
921:3x 307
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7 = 343
Therefore, the value for common factors is 343.
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 = 199991871240/(1x343)
LCM = 199991871240/343
LCM = 583066680
Thus, we can understand that the LCM of 595,392,921,931 is 583066680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 392, 921, 931
1. What is the LCM of 595, 392, 921, 931?
Answer: LCM of 595, 392, 921, 931 is 583066680.
2. How to calculate the LCM of 595, 392, 921, 931?
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 595, 392, 921, 931.
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}.