LCM of 567, 479, 169, 624, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 479, 169, 624, 432 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 567, 479, 169, 624, 432. So, keep reading to learn more.
Given numbers are 567,479,169,624,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,479,169,624,432 is 734387472.
Find LCM of 567,479,169,624,432 with Prime Factorization
| 2 | 567, 479, 169, 624, 432 |
| 2 | 567, 479, 169, 312, 216 |
| 2 | 567, 479, 169, 156, 108 |
| 2 | 567, 479, 169, 78, 54 |
| 3 | 567, 479, 169, 39, 27 |
| 3 | 189, 479, 169, 13, 9 |
| 3 | 63, 479, 169, 13, 3 |
| 13 | 21, 479, 169, 13, 1 |
| 21, 479, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 21 x 479 x 1 x 13 x 1 = 734387472
Therefore, the lowest common multiple of 567,479,169,624,432 is 734387472.
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.
567 x 479 x 169 x 624 x 432 = 12372960128256
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
479 : 1, 479
169 : 1, 13, 169
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,479,169,624,432, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
479:479
169:13x 13
624:2x 2x 2x 2x 3x 13
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 3x 13 = 16848
Therefore, the value for common factors is 16848.
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 = 12372960128256/(1x16848)
LCM = 12372960128256/16848
LCM = 734387472
Thus, we can understand that the LCM of 567,479,169,624,432 is 734387472.
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FAQs on LCM of 567, 479, 169, 624, 432
1. What is the LCM of 567, 479, 169, 624, 432?
Answer: LCM of 567, 479, 169, 624, 432 is 734387472.
2. How to calculate the LCM of 567, 479, 169, 624, 432?
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 567, 479, 169, 624, 432.
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}.