LCM of 336, 936, 468, 692, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 936, 468, 692, 569 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 336, 936, 468, 692, 569. So, keep reading to learn more.
Given numbers are 336,936,468,692,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,936,468,692,569 is 1289918448.
Find LCM of 336,936,468,692,569 with Prime Factorization
| 2 | 336, 936, 468, 692, 569 |
| 2 | 168, 468, 234, 346, 569 |
| 2 | 84, 117, 234, 173, 569 |
| 3 | 42, 117, 117, 173, 569 |
| 3 | 14, 39, 39, 173, 569 |
| 13 | 14, 13, 13, 173, 569 |
| 14, 1, 1, 173, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 14 x 1 x 1 x 173 x 569 = 1289918448
Therefore, the lowest common multiple of 336,936,468,692,569 is 1289918448.
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.
336 x 936 x 468 x 692 x 569 = 57953456031744
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
692 : 1, 2, 4, 173, 346, 692
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,936,468,692,569, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
936:2x 2x 2x 3x 3x 13
468:2x 2x 3x 3x 13
692:2x 2x 173
569:569
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 2x 2x 2x 3x 3x 3x 13 = 44928
Therefore, the value for common factors is 44928.
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 = 57953456031744/(1x44928)
LCM = 57953456031744/44928
LCM = 1289918448
Thus, we can understand that the LCM of 336,936,468,692,569 is 1289918448.
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FAQs on LCM of 336, 936, 468, 692, 569
1. What is the LCM of 336, 936, 468, 692, 569?
Answer: LCM of 336, 936, 468, 692, 569 is 1289918448.
2. How to calculate the LCM of 336, 936, 468, 692, 569?
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 336, 936, 468, 692, 569.
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}.