LCM of 782, 425, 959, 548, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 425, 959, 548, 743 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 782, 425, 959, 548, 743. So, keep reading to learn more.
Given numbers are 782,425,959,548,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,425,959,548,743 is 27860196700.
Find LCM of 782,425,959,548,743 with Prime Factorization
| 2 | 782, 425, 959, 548, 743 |
| 17 | 391, 425, 959, 274, 743 |
| 137 | 23, 25, 959, 274, 743 |
| 23, 25, 7, 2, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 137 x 23 x 25 x 7 x 2 x 743 = 27860196700
Therefore, the lowest common multiple of 782,425,959,548,743 is 27860196700.
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.
782 x 425 x 959 x 548 x 743 = 129772796228600
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
425 : 1, 5, 17, 25, 85, 425
959 : 1, 7, 137, 959
548 : 1, 2, 4, 137, 274, 548
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,425,959,548,743, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
425:5x 5x 17
959:7x 137
548:2x 2x 137
743:743
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 137 = 4658
Therefore, the value for common factors is 4658.
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 = 129772796228600/(1x4658)
LCM = 129772796228600/4658
LCM = 27860196700
Thus, we can understand that the LCM of 782,425,959,548,743 is 27860196700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 425, 959, 548, 743
1. What is the LCM of 782, 425, 959, 548, 743?
Answer: LCM of 782, 425, 959, 548, 743 is 27860196700.
2. How to calculate the LCM of 782, 425, 959, 548, 743?
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 782, 425, 959, 548, 743.
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}.