LCM of 567, 739, 990, 134, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 739, 990, 134, 609 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 567, 739, 990, 134, 609. So, keep reading to learn more.
Given numbers are 567,739,990,134,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,739,990,134,609 is 89555648490.
Find LCM of 567,739,990,134,609 with Prime Factorization
| 2 | 567, 739, 990, 134, 609 |
| 3 | 567, 739, 495, 67, 609 |
| 3 | 189, 739, 165, 67, 203 |
| 7 | 63, 739, 55, 67, 203 |
| 9, 739, 55, 67, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 9 x 739 x 55 x 67 x 29 = 89555648490
Therefore, the lowest common multiple of 567,739,990,134,609 is 89555648490.
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.
567 x 739 x 990 x 134 x 609 = 33852035129220
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
739 : 1, 739
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
134 : 1, 2, 67, 134
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,739,990,134,609, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
739:739
990:2x 3x 3x 5x 11
134:2x 67
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 33852035129220/(1x378)
LCM = 33852035129220/378
LCM = 89555648490
Thus, we can understand that the LCM of 567,739,990,134,609 is 89555648490.
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FAQs on LCM of 567, 739, 990, 134, 609
1. What is the LCM of 567, 739, 990, 134, 609?
Answer: LCM of 567, 739, 990, 134, 609 is 89555648490.
2. How to calculate the LCM of 567, 739, 990, 134, 609?
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 567, 739, 990, 134, 609.
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}.