LCM of 602, 394, 709, 494, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 394, 709, 494, 739 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 602, 394, 709, 494, 739. So, keep reading to learn more.
Given numbers are 602,394,709,494,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,394,709,494,739 is 15347948888818.
Find LCM of 602,394,709,494,739 with Prime Factorization
| 2 | 602, 394, 709, 494, 739 |
| 301, 197, 709, 247, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 301 x 197 x 709 x 247 x 739 = 15347948888818
Therefore, the lowest common multiple of 602,394,709,494,739 is 15347948888818.
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.
602 x 394 x 709 x 494 x 739 = 61391795555272
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
394 : 1, 2, 197, 394
709 : 1, 709
494 : 1, 2, 13, 19, 26, 38, 247, 494
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,394,709,494,739, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
394:2x 197
709:709
494:2x 13x 19
739:739
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 61391795555272/(1x4)
LCM = 61391795555272/4
LCM = 15347948888818
Thus, we can understand that the LCM of 602,394,709,494,739 is 15347948888818.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 602, 394, 709, 494, 739
1. What is the LCM of 602, 394, 709, 494, 739?
Answer: LCM of 602, 394, 709, 494, 739 is 15347948888818.
2. How to calculate the LCM of 602, 394, 709, 494, 739?
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 602, 394, 709, 494, 739.
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}.