LCM of 631, 269, 529, 608, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 269, 529, 608, 736 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 631, 269, 529, 608, 736. So, keep reading to learn more.
Given numbers are 631,269,529,608,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,269,529,608,736 is 54593494048.
Find LCM of 631,269,529,608,736 with Prime Factorization
| 2 | 631, 269, 529, 608, 736 |
| 2 | 631, 269, 529, 304, 368 |
| 2 | 631, 269, 529, 152, 184 |
| 2 | 631, 269, 529, 76, 92 |
| 2 | 631, 269, 529, 38, 46 |
| 23 | 631, 269, 529, 19, 23 |
| 631, 269, 1, 19, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 631 x 269 x 1 x 19 x 23 = 54593494048
Therefore, the lowest common multiple of 631,269,529,608,736 is 54593494048.
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.
631 x 269 x 529 x 608 x 736 = 40180811619328
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.
631 : 1, 631
269 : 1, 269
529 : 1, 23, 529
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,269,529,608,736, is 1.
Now, the common factors can be found like this.
631:631
269:269
529:23x 23
608:2x 2x 2x 2x 2x 19
736:2x 2x 2x 2x 2x 23
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 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 40180811619328/(1x736)
LCM = 40180811619328/736
LCM = 54593494048
Thus, we can understand that the LCM of 631,269,529,608,736 is 54593494048.
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FAQs on LCM of 631, 269, 529, 608, 736
1. What is the LCM of 631, 269, 529, 608, 736?
Answer: LCM of 631, 269, 529, 608, 736 is 54593494048.
2. How to calculate the LCM of 631, 269, 529, 608, 736?
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 631, 269, 529, 608, 736.
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}.