LCM of 269, 522, 316, 210, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 522, 316, 210, 200 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, 522, 316, 210, 200. So, keep reading to learn more.
Given numbers are 269,522,316,210,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,522,316,210,200 is 7765115400.
Find LCM of 269,522,316,210,200 with Prime Factorization
| 2 | 269, 522, 316, 210, 200 |
| 2 | 269, 261, 158, 105, 100 |
| 3 | 269, 261, 79, 105, 50 |
| 5 | 269, 87, 79, 35, 50 |
| 269, 87, 79, 7, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 269 x 87 x 79 x 7 x 10 = 7765115400
Therefore, the lowest common multiple of 269,522,316,210,200 is 7765115400.
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 522 x 316 x 210 x 200 = 1863627696000
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
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
316 : 1, 2, 4, 79, 158, 316
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,522,316,210,200, is 1.
Now, the common factors can be found like this.
269:269
522:2x 3x 3x 29
316:2x 2x 79
210:2x 3x 5x 7
200:2x 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 2x 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 1863627696000/(1x240)
LCM = 1863627696000/240
LCM = 7765115400
Thus, we can understand that the LCM of 269,522,316,210,200 is 7765115400.
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FAQs on LCM of 269, 522, 316, 210, 200
1. What is the LCM of 269, 522, 316, 210, 200?
Answer: LCM of 269, 522, 316, 210, 200 is 7765115400.
2. How to calculate the LCM of 269, 522, 316, 210, 200?
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, 522, 316, 210, 200.
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}.