LCM of 814, 542, 420, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 542, 420, 872 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 814, 542, 420, 872. So, keep reading to learn more.
Given numbers are 814,542,420,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,542,420,872 is 10098793320.
Find LCM of 814,542,420,872 with Prime Factorization
| 2 | 814, 542, 420, 872 |
| 2 | 407, 271, 210, 436 |
| 407, 271, 105, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 407 x 271 x 105 x 218 = 10098793320
Therefore, the lowest common multiple of 814,542,420,872 is 10098793320.
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.
814 x 542 x 420 x 872 = 161580693120
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
542 : 1, 2, 271, 542
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
872 : 1, 2, 4, 8, 109, 218, 436, 872
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,542,420,872, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
542:2x 271
420:2x 2x 3x 5x 7
872:2x 2x 2x 109
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 2 = 8
Therefore, the value for common factors is 8.
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 = 161580693120/(2x8)
LCM = 161580693120/16
LCM = 10098793320
Thus, we can understand that the LCM of 814,542,420,872 is 10098793320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 542, 420, 872
1. What is the LCM of 814, 542, 420, 872?
Answer: LCM of 814, 542, 420, 872 is 10098793320.
2. How to calculate the LCM of 814, 542, 420, 872?
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 814, 542, 420, 872.
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}.