LCM of 794, 720, 300, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 720, 300, 978 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 794, 720, 300, 978. So, keep reading to learn more.
Given numbers are 794,720,300,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,720,300,978 is 232959600.
Find LCM of 794,720,300,978 with Prime Factorization
| 2 | 794, 720, 300, 978 |
| 2 | 397, 360, 150, 489 |
| 3 | 397, 180, 75, 489 |
| 5 | 397, 60, 25, 163 |
| 397, 12, 5, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 397 x 12 x 5 x 163 = 232959600
Therefore, the lowest common multiple of 794,720,300,978 is 232959600.
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.
794 x 720 x 300 x 978 = 167730912000
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.
794 : 1, 2, 397, 794
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,720,300,978, is 2.
Now, the common factors can be found like this.
794:2x 397
720:2x 2x 2x 2x 3x 3x 5
300:2x 2x 3x 5x 5
978:2x 3x 163
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 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 167730912000/(2x360)
LCM = 167730912000/720
LCM = 232959600
Thus, we can understand that the LCM of 794,720,300,978 is 232959600.
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FAQs on LCM of 794, 720, 300, 978
1. What is the LCM of 794, 720, 300, 978?
Answer: LCM of 794, 720, 300, 978 is 232959600.
2. How to calculate the LCM of 794, 720, 300, 978?
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 794, 720, 300, 978.
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}.