LCM of 781, 540, 994, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 540, 994, 539 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 781, 540, 994, 539. So, keep reading to learn more.
Given numbers are 781,540,994,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,540,994,539 is 20665260.
Find LCM of 781,540,994,539 with Prime Factorization
| 2 | 781, 540, 994, 539 |
| 7 | 781, 270, 497, 539 |
| 11 | 781, 270, 71, 77 |
| 71 | 71, 270, 71, 7 |
| 1, 270, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 71 x 1 x 270 x 1 x 7 = 20665260
Therefore, the lowest common multiple of 781,540,994,539 is 20665260.
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.
781 x 540 x 994 x 539 = 225953952840
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.
781 : 1, 11, 71, 781
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
994 : 1, 2, 7, 14, 71, 142, 497, 994
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,540,994,539, is 1.
Now, the common factors can be found like this.
781:11x 71
540:2x 2x 3x 3x 3x 5
994:2x 7x 71
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 71 = 10934
Therefore, the value for common factors is 10934.
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 = 225953952840/(1x10934)
LCM = 225953952840/10934
LCM = 20665260
Thus, we can understand that the LCM of 781,540,994,539 is 20665260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 540, 994, 539
1. What is the LCM of 781, 540, 994, 539?
Answer: LCM of 781, 540, 994, 539 is 20665260.
2. How to calculate the LCM of 781, 540, 994, 539?
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 781, 540, 994, 539.
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}.