LCM of 174, 346, 584, 432, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 346, 584, 432, 943 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 174, 346, 584, 432, 943. So, keep reading to learn more.
Given numbers are 174,346,584,432,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,346,584,432,943 is 149197793616.
Find LCM of 174,346,584,432,943 with Prime Factorization
| 2 | 174, 346, 584, 432, 943 |
| 2 | 87, 173, 292, 216, 943 |
| 2 | 87, 173, 146, 108, 943 |
| 3 | 87, 173, 73, 54, 943 |
| 29, 173, 73, 18, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 173 x 73 x 18 x 943 = 149197793616
Therefore, the lowest common multiple of 174,346,584,432,943 is 149197793616.
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.
174 x 346 x 584 x 432 x 943 = 14322988187136
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
346 : 1, 2, 173, 346
584 : 1, 2, 4, 8, 73, 146, 292, 584
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,346,584,432,943, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
346:2x 173
584:2x 2x 2x 73
432:2x 2x 2x 2x 3x 3x 3
943:23x 41
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 3 = 96
Therefore, the value for common factors is 96.
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 = 14322988187136/(1x96)
LCM = 14322988187136/96
LCM = 149197793616
Thus, we can understand that the LCM of 174,346,584,432,943 is 149197793616.
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FAQs on LCM of 174, 346, 584, 432, 943
1. What is the LCM of 174, 346, 584, 432, 943?
Answer: LCM of 174, 346, 584, 432, 943 is 149197793616.
2. How to calculate the LCM of 174, 346, 584, 432, 943?
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 174, 346, 584, 432, 943.
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}.