LCM of 269, 520, 285, 339, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 520, 285, 339, 572 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, 520, 285, 339, 572. So, keep reading to learn more.
Given numbers are 269,520,285,339,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,520,285,339,572 is 9910637880.
Find LCM of 269,520,285,339,572 with Prime Factorization
| 2 | 269, 520, 285, 339, 572 |
| 2 | 269, 260, 285, 339, 286 |
| 3 | 269, 130, 285, 339, 143 |
| 5 | 269, 130, 95, 113, 143 |
| 13 | 269, 26, 19, 113, 143 |
| 269, 2, 19, 113, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 269 x 2 x 19 x 113 x 11 = 9910637880
Therefore, the lowest common multiple of 269,520,285,339,572 is 9910637880.
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 520 x 285 x 339 x 572 = 7730297546400
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
285 : 1, 3, 5, 15, 19, 57, 95, 285
339 : 1, 3, 113, 339
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,520,285,339,572, is 1.
Now, the common factors can be found like this.
269:269
520:2x 2x 2x 5x 13
285:3x 5x 19
339:3x 113
572:2x 2x 11x 13
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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 7730297546400/(1x780)
LCM = 7730297546400/780
LCM = 9910637880
Thus, we can understand that the LCM of 269,520,285,339,572 is 9910637880.
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FAQs on LCM of 269, 520, 285, 339, 572
1. What is the LCM of 269, 520, 285, 339, 572?
Answer: LCM of 269, 520, 285, 339, 572 is 9910637880.
2. How to calculate the LCM of 269, 520, 285, 339, 572?
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, 520, 285, 339, 572.
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}.