LCM of 741, 386, 998, 155, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 386, 998, 155, 468 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 741, 386, 998, 155, 468. So, keep reading to learn more.
Given numbers are 741,386,998,155,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,386,998,155,468 is 132736085820.
Find LCM of 741,386,998,155,468 with Prime Factorization
| 2 | 741, 386, 998, 155, 468 |
| 3 | 741, 193, 499, 155, 234 |
| 13 | 247, 193, 499, 155, 78 |
| 19, 193, 499, 155, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 193 x 499 x 155 x 6 = 132736085820
Therefore, the lowest common multiple of 741,386,998,155,468 is 132736085820.
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.
741 x 386 x 998 x 155 x 468 = 20706829387920
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
386 : 1, 2, 193, 386
998 : 1, 2, 499, 998
155 : 1, 5, 31, 155
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,386,998,155,468, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
386:2x 193
998:2x 499
155:5x 31
468:2x 2x 3x 3x 13
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 20706829387920/(1x156)
LCM = 20706829387920/156
LCM = 132736085820
Thus, we can understand that the LCM of 741,386,998,155,468 is 132736085820.
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FAQs on LCM of 741, 386, 998, 155, 468
1. What is the LCM of 741, 386, 998, 155, 468?
Answer: LCM of 741, 386, 998, 155, 468 is 132736085820.
2. How to calculate the LCM of 741, 386, 998, 155, 468?
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 741, 386, 998, 155, 468.
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}.