LCM of 634, 456, 649, 436, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 456, 649, 436, 327 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 634, 456, 649, 436, 327. So, keep reading to learn more.
Given numbers are 634,456,649,436,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,456,649,436,327 is 10225753032.
Find LCM of 634,456,649,436,327 with Prime Factorization
| 2 | 634, 456, 649, 436, 327 |
| 2 | 317, 228, 649, 218, 327 |
| 3 | 317, 114, 649, 109, 327 |
| 109 | 317, 38, 649, 109, 109 |
| 317, 38, 649, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 317 x 38 x 649 x 1 x 1 = 10225753032
Therefore, the lowest common multiple of 634,456,649,436,327 is 10225753032.
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.
634 x 456 x 649 x 436 x 327 = 26750569931712
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.
634 : 1, 2, 317, 634
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
649 : 1, 11, 59, 649
436 : 1, 2, 4, 109, 218, 436
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,456,649,436,327, is 1.
Now, the common factors can be found like this.
634:2x 317
456:2x 2x 2x 3x 19
649:11x 59
436:2x 2x 109
327:3x 109
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 109 = 2616
Therefore, the value for common factors is 2616.
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 = 26750569931712/(1x2616)
LCM = 26750569931712/2616
LCM = 10225753032
Thus, we can understand that the LCM of 634,456,649,436,327 is 10225753032.
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FAQs on LCM of 634, 456, 649, 436, 327
1. What is the LCM of 634, 456, 649, 436, 327?
Answer: LCM of 634, 456, 649, 436, 327 is 10225753032.
2. How to calculate the LCM of 634, 456, 649, 436, 327?
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 634, 456, 649, 436, 327.
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}.