LCM of 132, 269, 341, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 269, 341, 868 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 132, 269, 341, 868. So, keep reading to learn more.
Given numbers are 132,269,341,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,269,341,868 is 7705236.
Find LCM of 132,269,341,868 with Prime Factorization
| 2 | 132, 269, 341, 868 |
| 2 | 66, 269, 341, 434 |
| 11 | 33, 269, 341, 217 |
| 31 | 3, 269, 31, 217 |
| 3, 269, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 3 x 269 x 1 x 7 = 7705236
Therefore, the lowest common multiple of 132,269,341,868 is 7705236.
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.
132 x 269 x 341 x 868 = 10509941904
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
269 : 1, 269
341 : 1, 11, 31, 341
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,269,341,868, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
269:269
341:11x 31
868:2x 2x 7x 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 2x 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 10509941904/(1x1364)
LCM = 10509941904/1364
LCM = 7705236
Thus, we can understand that the LCM of 132,269,341,868 is 7705236.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 132, 269, 341, 868
1. What is the LCM of 132, 269, 341, 868?
Answer: LCM of 132, 269, 341, 868 is 7705236.
2. How to calculate the LCM of 132, 269, 341, 868?
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 132, 269, 341, 868.
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}.