LCM of 934, 428, 652, 749, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 428, 652, 749, 591 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 934, 428, 652, 749, 591. So, keep reading to learn more.
Given numbers are 934,428,652,749,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,428,652,749,591 is 134782582956.
Find LCM of 934,428,652,749,591 with Prime Factorization
| 2 | 934, 428, 652, 749, 591 |
| 2 | 467, 214, 326, 749, 591 |
| 107 | 467, 107, 163, 749, 591 |
| 467, 1, 163, 7, 591 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 467 x 1 x 163 x 7 x 591 = 134782582956
Therefore, the lowest common multiple of 934,428,652,749,591 is 134782582956.
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.
934 x 428 x 652 x 749 x 591 = 115373891010336
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.
934 : 1, 2, 467, 934
428 : 1, 2, 4, 107, 214, 428
652 : 1, 2, 4, 163, 326, 652
749 : 1, 7, 107, 749
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,428,652,749,591, is 1.
Now, the common factors can be found like this.
934:2x 467
428:2x 2x 107
652:2x 2x 163
749:7x 107
591:3x 197
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 107 = 856
Therefore, the value for common factors is 856.
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 = 115373891010336/(1x856)
LCM = 115373891010336/856
LCM = 134782582956
Thus, we can understand that the LCM of 934,428,652,749,591 is 134782582956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 934, 428, 652, 749, 591
1. What is the LCM of 934, 428, 652, 749, 591?
Answer: LCM of 934, 428, 652, 749, 591 is 134782582956.
2. How to calculate the LCM of 934, 428, 652, 749, 591?
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 934, 428, 652, 749, 591.
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}.