LCM of 649, 936, 964, 705, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 936, 964, 705, 225 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 649, 936, 964, 705, 225. So, keep reading to learn more.
Given numbers are 649,936,964,705,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,936,964,705,225 is 172018618200.
Find LCM of 649,936,964,705,225 with Prime Factorization
| 2 | 649, 936, 964, 705, 225 |
| 2 | 649, 468, 482, 705, 225 |
| 3 | 649, 234, 241, 705, 225 |
| 3 | 649, 78, 241, 235, 75 |
| 5 | 649, 26, 241, 235, 25 |
| 649, 26, 241, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 649 x 26 x 241 x 47 x 5 = 172018618200
Therefore, the lowest common multiple of 649,936,964,705,225 is 172018618200.
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.
649 x 936 x 964 x 705 x 225 = 92890053828000
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.
649 : 1, 11, 59, 649
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
964 : 1, 2, 4, 241, 482, 964
705 : 1, 3, 5, 15, 47, 141, 235, 705
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,936,964,705,225, is 1.
Now, the common factors can be found like this.
649:11x 59
936:2x 2x 2x 3x 3x 13
964:2x 2x 241
705:3x 5x 47
225:3x 3x 5x 5
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 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 92890053828000/(1x540)
LCM = 92890053828000/540
LCM = 172018618200
Thus, we can understand that the LCM of 649,936,964,705,225 is 172018618200.
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FAQs on LCM of 649, 936, 964, 705, 225
1. What is the LCM of 649, 936, 964, 705, 225?
Answer: LCM of 649, 936, 964, 705, 225 is 172018618200.
2. How to calculate the LCM of 649, 936, 964, 705, 225?
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 649, 936, 964, 705, 225.
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}.