LCM of 269, 542, 414, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 542, 414, 400 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 269, 542, 414, 400. So, keep reading to learn more.
Given numbers are 269,542,414,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,542,414,400 is 6036037200.
Find LCM of 269,542,414,400 with Prime Factorization
| 2 | 269, 542, 414, 400 |
| 269, 271, 207, 200 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 271 x 207 x 200 = 6036037200
Therefore, the lowest common multiple of 269,542,414,400 is 6036037200.
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.
269 x 542 x 414 x 400 = 24144148800
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.
269 : 1, 269
542 : 1, 2, 271, 542
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,542,414,400, is 1.
Now, the common factors can be found like this.
269:269
542:2x 271
414:2x 3x 3x 23
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 24144148800/(1x4)
LCM = 24144148800/4
LCM = 6036037200
Thus, we can understand that the LCM of 269,542,414,400 is 6036037200.
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FAQs on LCM of 269, 542, 414, 400
1. What is the LCM of 269, 542, 414, 400?
Answer: LCM of 269, 542, 414, 400 is 6036037200.
2. How to calculate the LCM of 269, 542, 414, 400?
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 269, 542, 414, 400.
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}.