LCM of 542, 533, 420, 831, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 533, 420, 831, 961 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 542, 533, 420, 831, 961. So, keep reading to learn more.
Given numbers are 542,533,420,831,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,533,420,831,961 is 16149123173820.
Find LCM of 542,533,420,831,961 with Prime Factorization
| 2 | 542, 533, 420, 831, 961 |
| 3 | 271, 533, 210, 831, 961 |
| 271, 533, 70, 277, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 533 x 70 x 277 x 961 = 16149123173820
Therefore, the lowest common multiple of 542,533,420,831,961 is 16149123173820.
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.
542 x 533 x 420 x 831 x 961 = 96894739042920
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.
542 : 1, 2, 271, 542
533 : 1, 13, 41, 533
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
831 : 1, 3, 277, 831
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,533,420,831,961, is 1.
Now, the common factors can be found like this.
542:2x 271
533:13x 41
420:2x 2x 3x 5x 7
831:3x 277
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 96894739042920/(1x6)
LCM = 96894739042920/6
LCM = 16149123173820
Thus, we can understand that the LCM of 542,533,420,831,961 is 16149123173820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 533, 420, 831, 961
1. What is the LCM of 542, 533, 420, 831, 961?
Answer: LCM of 542, 533, 420, 831, 961 is 16149123173820.
2. How to calculate the LCM of 542, 533, 420, 831, 961?
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 542, 533, 420, 831, 961.
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}.