LCM of 269, 429, 572, 658, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 429, 572, 658, 699 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, 429, 572, 658, 699. So, keep reading to learn more.
Given numbers are 269,429,572,658,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,429,572,658,699 is 35385177828.
Find LCM of 269,429,572,658,699 with Prime Factorization
| 2 | 269, 429, 572, 658, 699 |
| 3 | 269, 429, 286, 329, 699 |
| 11 | 269, 143, 286, 329, 233 |
| 13 | 269, 13, 26, 329, 233 |
| 269, 1, 2, 329, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 269 x 1 x 2 x 329 x 233 = 35385177828
Therefore, the lowest common multiple of 269,429,572,658,699 is 35385177828.
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 429 x 572 x 658 x 699 = 30360482576424
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
658 : 1, 2, 7, 14, 47, 94, 329, 658
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,429,572,658,699, is 1.
Now, the common factors can be found like this.
269:269
429:3x 11x 13
572:2x 2x 11x 13
658:2x 7x 47
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 30360482576424/(1x858)
LCM = 30360482576424/858
LCM = 35385177828
Thus, we can understand that the LCM of 269,429,572,658,699 is 35385177828.
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FAQs on LCM of 269, 429, 572, 658, 699
1. What is the LCM of 269, 429, 572, 658, 699?
Answer: LCM of 269, 429, 572, 658, 699 is 35385177828.
2. How to calculate the LCM of 269, 429, 572, 658, 699?
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, 429, 572, 658, 699.
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}.