Find the LCM of 269, 624, 468, 423, 429 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, 624, 468, 423, 429. So, keep reading to learn more.
Given numbers are 269,624,468,423,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,624,468,423,429 is 260344656.
Find LCM of 269,624,468,423,429 with Prime Factorization
2 | 269, 624, 468, 423, 429 |
2 | 269, 312, 234, 423, 429 |
3 | 269, 156, 117, 423, 429 |
3 | 269, 52, 39, 141, 143 |
13 | 269, 52, 13, 47, 143 |
269, 4, 1, 47, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 269 x 4 x 1 x 47 x 11 = 260344656
Therefore, the lowest common multiple of 269,624,468,423,429 is 260344656.
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 624 x 468 x 423 x 429 = 14255431983936
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
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
423 : 1, 3, 9, 47, 141, 423
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,624,468,423,429, is 1.
Now, the common factors can be found like this.
269:269
624:2x 2x 2x 2x 3x 13
468:2x 2x 3x 3x 13
423:3x 3x 47
429:3x 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 3x 3x 3x 13x 13 = 54756
Therefore, the value for common factors is 54756.
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 = 14255431983936/(1x54756)
LCM = 14255431983936/54756
LCM = 260344656
Thus, we can understand that the LCM of 269,624,468,423,429 is 260344656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 624, 468, 423, 429?
Answer: LCM of 269, 624, 468, 423, 429 is 260344656.
2. How to calculate the LCM of 269, 624, 468, 423, 429?
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, 624, 468, 423, 429.
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}.