LCM of 733, 261, 847, 648, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 261, 847, 648, 464 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 733, 261, 847, 648, 464. So, keep reading to learn more.
Given numbers are 733,261,847,648,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,261,847,648,464 is 23334063984.
Find LCM of 733,261,847,648,464 with Prime Factorization
| 2 | 733, 261, 847, 648, 464 |
| 2 | 733, 261, 847, 324, 232 |
| 2 | 733, 261, 847, 162, 116 |
| 3 | 733, 261, 847, 81, 58 |
| 3 | 733, 87, 847, 27, 58 |
| 29 | 733, 29, 847, 9, 58 |
| 733, 1, 847, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 733 x 1 x 847 x 9 x 2 = 23334063984
Therefore, the lowest common multiple of 733,261,847,648,464 is 23334063984.
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.
733 x 261 x 847 x 648 x 464 = 48721525598592
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.
733 : 1, 733
261 : 1, 3, 9, 29, 87, 261
847 : 1, 7, 11, 77, 121, 847
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,261,847,648,464, is 1.
Now, the common factors can be found like this.
733:733
261:3x 3x 29
847:7x 11x 11
648:2x 2x 2x 3x 3x 3x 3
464:2x 2x 2x 2x 29
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 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 48721525598592/(1x2088)
LCM = 48721525598592/2088
LCM = 23334063984
Thus, we can understand that the LCM of 733,261,847,648,464 is 23334063984.
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FAQs on LCM of 733, 261, 847, 648, 464
1. What is the LCM of 733, 261, 847, 648, 464?
Answer: LCM of 733, 261, 847, 648, 464 is 23334063984.
2. How to calculate the LCM of 733, 261, 847, 648, 464?
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 733, 261, 847, 648, 464.
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}.