LCM of 797, 780, 540, 980, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 780, 540, 980, 962 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, 780, 540, 980, 962. So, keep reading to learn more.
Given numbers are 797,780,540,980,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,780,540,980,962 is 10143626220.
Find LCM of 797,780,540,980,962 with Prime Factorization
| 2 | 797, 780, 540, 980, 962 |
| 2 | 797, 390, 270, 490, 481 |
| 3 | 797, 195, 135, 245, 481 |
| 5 | 797, 65, 45, 245, 481 |
| 13 | 797, 13, 9, 49, 481 |
| 797, 1, 9, 49, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 797 x 1 x 9 x 49 x 37 = 10143626220
Therefore, the lowest common multiple of 797,780,540,980,962 is 10143626220.
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 780 x 540 x 980 x 962 = 316481138064000
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,780,540,980,962, is 1.
Now, the common factors can be found like this.
797:797
780:2x 2x 3x 5x 13
540:2x 2x 3x 3x 3x 5
980:2x 2x 5x 7x 7
962:2x 13x 37
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 3x 5x 5x 13 = 31200
Therefore, the value for common factors is 31200.
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 = 316481138064000/(1x31200)
LCM = 316481138064000/31200
LCM = 10143626220
Thus, we can understand that the LCM of 797,780,540,980,962 is 10143626220.
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FAQs on LCM of 797, 780, 540, 980, 962
1. What is the LCM of 797, 780, 540, 980, 962?
Answer: LCM of 797, 780, 540, 980, 962 is 10143626220.
2. How to calculate the LCM of 797, 780, 540, 980, 962?
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, 780, 540, 980, 962.
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}.