LCM of 743, 660, 631, 891, 137
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 660, 631, 891, 137 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 743, 660, 631, 891, 137. So, keep reading to learn more.
Given numbers are 743,660,631,891,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,660,631,891,137 is 1144580756220.
Find LCM of 743,660,631,891,137 with Prime Factorization
| 3 | 743, 660, 631, 891, 137 |
| 11 | 743, 220, 631, 297, 137 |
| 743, 20, 631, 27, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 743 x 20 x 631 x 27 x 137 = 1144580756220
Therefore, the lowest common multiple of 743,660,631,891,137 is 1144580756220.
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.
743 x 660 x 631 x 891 x 137 = 37771164955260
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.
743 : 1, 743
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
631 : 1, 631
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,660,631,891,137, is 1.
Now, the common factors can be found like this.
743:743
660:2x 2x 3x 5x 11
631:631
891:3x 3x 3x 3x 11
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 37771164955260/(1x33)
LCM = 37771164955260/33
LCM = 1144580756220
Thus, we can understand that the LCM of 743,660,631,891,137 is 1144580756220.
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FAQs on LCM of 743, 660, 631, 891, 137
1. What is the LCM of 743, 660, 631, 891, 137?
Answer: LCM of 743, 660, 631, 891, 137 is 1144580756220.
2. How to calculate the LCM of 743, 660, 631, 891, 137?
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 743, 660, 631, 891, 137.
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}.