LCM of 609, 668, 396, 981, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 668, 396, 981, 742 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 609, 668, 396, 981, 742. So, keep reading to learn more.
Given numbers are 609,668,396,981,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,668,396,981,742 is 77555046492.
Find LCM of 609,668,396,981,742 with Prime Factorization
| 2 | 609, 668, 396, 981, 742 |
| 2 | 609, 334, 198, 981, 371 |
| 3 | 609, 167, 99, 981, 371 |
| 3 | 203, 167, 33, 327, 371 |
| 7 | 203, 167, 11, 109, 371 |
| 29, 167, 11, 109, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 29 x 167 x 11 x 109 x 53 = 77555046492
Therefore, the lowest common multiple of 609,668,396,981,742 is 77555046492.
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.
609 x 668 x 396 x 981 x 742 = 117263230295904
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
668 : 1, 2, 4, 167, 334, 668
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
981 : 1, 3, 9, 109, 327, 981
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,668,396,981,742, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
668:2x 2x 167
396:2x 2x 3x 3x 11
981:3x 3x 109
742:2x 7x 53
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 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 117263230295904/(1x1512)
LCM = 117263230295904/1512
LCM = 77555046492
Thus, we can understand that the LCM of 609,668,396,981,742 is 77555046492.
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FAQs on LCM of 609, 668, 396, 981, 742
1. What is the LCM of 609, 668, 396, 981, 742?
Answer: LCM of 609, 668, 396, 981, 742 is 77555046492.
2. How to calculate the LCM of 609, 668, 396, 981, 742?
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 609, 668, 396, 981, 742.
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}.