LCM of 844, 810, 797, 540, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 810, 797, 540, 630 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 844, 810, 797, 540, 630. So, keep reading to learn more.
Given numbers are 844,810,797,540,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,810,797,540,630 is 1907013780.
Find LCM of 844,810,797,540,630 with Prime Factorization
| 2 | 844, 810, 797, 540, 630 |
| 2 | 422, 405, 797, 270, 315 |
| 3 | 211, 405, 797, 135, 315 |
| 3 | 211, 45, 797, 135, 105 |
| 3 | 211, 15, 797, 45, 35 |
| 5 | 211, 5, 797, 15, 35 |
| 211, 1, 797, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 211 x 1 x 797 x 3 x 7 = 1907013780
Therefore, the lowest common multiple of 844,810,797,540,630 is 1907013780.
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.
844 x 810 x 797 x 540 x 630 = 185361739416000
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.
844 : 1, 2, 4, 211, 422, 844
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
797 : 1, 797
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,810,797,540,630, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
810:2x 3x 3x 3x 3x 5
797:797
540:2x 2x 3x 3x 3x 5
630:2x 3x 3x 5x 7
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 3x 3x 3x 3x 3x 5x 5 = 97200
Therefore, the value for common factors is 97200.
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 = 185361739416000/(1x97200)
LCM = 185361739416000/97200
LCM = 1907013780
Thus, we can understand that the LCM of 844,810,797,540,630 is 1907013780.
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FAQs on LCM of 844, 810, 797, 540, 630
1. What is the LCM of 844, 810, 797, 540, 630?
Answer: LCM of 844, 810, 797, 540, 630 is 1907013780.
2. How to calculate the LCM of 844, 810, 797, 540, 630?
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 844, 810, 797, 540, 630.
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}.