LCM of 978, 720, 992, 820, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 720, 992, 820, 760 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 978, 720, 992, 820, 760. So, keep reading to learn more.
Given numbers are 978,720,992,820,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,720,992,820,760 is 5668253280.
Find LCM of 978,720,992,820,760 with Prime Factorization
| 2 | 978, 720, 992, 820, 760 |
| 2 | 489, 360, 496, 410, 380 |
| 2 | 489, 180, 248, 205, 190 |
| 2 | 489, 90, 124, 205, 95 |
| 3 | 489, 45, 62, 205, 95 |
| 5 | 163, 15, 62, 205, 95 |
| 163, 3, 62, 41, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 163 x 3 x 62 x 41 x 19 = 5668253280
Therefore, the lowest common multiple of 978,720,992,820,760 is 5668253280.
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.
978 x 720 x 992 x 820 x 760 = 435321851904000
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
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
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,720,992,820,760, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
720:2x 2x 2x 2x 3x 3x 5
992:2x 2x 2x 2x 2x 31
820:2x 2x 5x 41
760:2x 2x 2x 5x 19
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 2x 2x 2x 2x 2x 2x 3x 5x 5 = 38400
Therefore, the value for common factors is 38400.
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 = 435321851904000/(2x38400)
LCM = 435321851904000/76800
LCM = 5668253280
Thus, we can understand that the LCM of 978,720,992,820,760 is 5668253280.
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FAQs on LCM of 978, 720, 992, 820, 760
1. What is the LCM of 978, 720, 992, 820, 760?
Answer: LCM of 978, 720, 992, 820, 760 is 5668253280.
2. How to calculate the LCM of 978, 720, 992, 820, 760?
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 978, 720, 992, 820, 760.
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}.