LCM of 797, 600, 674, 186, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 600, 674, 186, 965 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 797, 600, 674, 186, 965. So, keep reading to learn more.
Given numbers are 797,600,674,186,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,600,674,186,965 is 964180792200.
Find LCM of 797,600,674,186,965 with Prime Factorization
| 2 | 797, 600, 674, 186, 965 |
| 3 | 797, 300, 337, 93, 965 |
| 5 | 797, 100, 337, 31, 965 |
| 797, 20, 337, 31, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 797 x 20 x 337 x 31 x 193 = 964180792200
Therefore, the lowest common multiple of 797,600,674,186,965 is 964180792200.
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.
797 x 600 x 674 x 186 x 965 = 57850847532000
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.
797 : 1, 797
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
674 : 1, 2, 337, 674
186 : 1, 2, 3, 6, 31, 62, 93, 186
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,600,674,186,965, is 1.
Now, the common factors can be found like this.
797:797
600:2x 2x 2x 3x 5x 5
674:2x 337
186:2x 3x 31
965:5x 193
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 57850847532000/(1x60)
LCM = 57850847532000/60
LCM = 964180792200
Thus, we can understand that the LCM of 797,600,674,186,965 is 964180792200.
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FAQs on LCM of 797, 600, 674, 186, 965
1. What is the LCM of 797, 600, 674, 186, 965?
Answer: LCM of 797, 600, 674, 186, 965 is 964180792200.
2. How to calculate the LCM of 797, 600, 674, 186, 965?
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 797, 600, 674, 186, 965.
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}.