LCM of 521, 268, 420, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 268, 420, 102 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 521, 268, 420, 102. So, keep reading to learn more.
Given numbers are 521,268,420,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,268,420,102 is 249235980.
Find LCM of 521,268,420,102 with Prime Factorization
| 2 | 521, 268, 420, 102 |
| 2 | 521, 134, 210, 51 |
| 3 | 521, 67, 105, 51 |
| 521, 67, 35, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 521 x 67 x 35 x 17 = 249235980
Therefore, the lowest common multiple of 521,268,420,102 is 249235980.
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.
521 x 268 x 420 x 102 = 5981663520
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.
521 : 1, 521
268 : 1, 2, 4, 67, 134, 268
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
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,268,420,102, is 1.
Now, the common factors can be found like this.
521:521
268:2x 2x 67
420:2x 2x 3x 5x 7
102:2x 3x 17
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 3 = 24
Therefore, the value for common factors is 24.
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 = 5981663520/(1x24)
LCM = 5981663520/24
LCM = 249235980
Thus, we can understand that the LCM of 521,268,420,102 is 249235980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 521, 268, 420, 102
1. What is the LCM of 521, 268, 420, 102?
Answer: LCM of 521, 268, 420, 102 is 249235980.
2. How to calculate the LCM of 521, 268, 420, 102?
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 521, 268, 420, 102.
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}.