LCM of 580, 372, 662, 498, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 372, 662, 498, 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 580, 372, 662, 498, 739. So, keep reading to learn more.
Given numbers are 580,372,662,498,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,372,662,498,739 is 1095119385180.
Find LCM of 580,372,662,498,739 with Prime Factorization
| 2 | 580, 372, 662, 498, 739 |
| 2 | 290, 186, 331, 249, 739 |
| 3 | 145, 93, 331, 249, 739 |
| 145, 31, 331, 83, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 145 x 31 x 331 x 83 x 739 = 1095119385180
Therefore, the lowest common multiple of 580,372,662,498,739 is 1095119385180.
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.
580 x 372 x 662 x 498 x 739 = 52565730488640
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
662 : 1, 2, 331, 662
498 : 1, 2, 3, 6, 83, 166, 249, 498
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,372,662,498,739, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
372:2x 2x 3x 31
662:2x 331
498:2x 3x 83
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 2x 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 52565730488640/(1x48)
LCM = 52565730488640/48
LCM = 1095119385180
Thus, we can understand that the LCM of 580,372,662,498,739 is 1095119385180.
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FAQs on LCM of 580, 372, 662, 498, 739
1. What is the LCM of 580, 372, 662, 498, 739?
Answer: LCM of 580, 372, 662, 498, 739 is 1095119385180.
2. How to calculate the LCM of 580, 372, 662, 498, 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 580, 372, 662, 498, 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}.