LCM of 939, 496, 379, 434, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 496, 379, 434, 175 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 939, 496, 379, 434, 175. So, keep reading to learn more.
Given numbers are 939,496,379,434,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,496,379,434,175 is 30890470800.
Find LCM of 939,496,379,434,175 with Prime Factorization
| 2 | 939, 496, 379, 434, 175 |
| 7 | 939, 248, 379, 217, 175 |
| 31 | 939, 248, 379, 31, 25 |
| 939, 8, 379, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 939 x 8 x 379 x 1 x 25 = 30890470800
Therefore, the lowest common multiple of 939,496,379,434,175 is 30890470800.
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.
939 x 496 x 379 x 434 x 175 = 13406464327200
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.
939 : 1, 3, 313, 939
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
379 : 1, 379
434 : 1, 2, 7, 14, 31, 62, 217, 434
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,496,379,434,175, is 1.
Now, the common factors can be found like this.
939:3x 313
496:2x 2x 2x 2x 31
379:379
434:2x 7x 31
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 31 = 434
Therefore, the value for common factors is 434.
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 = 13406464327200/(1x434)
LCM = 13406464327200/434
LCM = 30890470800
Thus, we can understand that the LCM of 939,496,379,434,175 is 30890470800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 496, 379, 434, 175
1. What is the LCM of 939, 496, 379, 434, 175?
Answer: LCM of 939, 496, 379, 434, 175 is 30890470800.
2. How to calculate the LCM of 939, 496, 379, 434, 175?
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 939, 496, 379, 434, 175.
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}.