LCM of 733, 814, 440, 660, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 814, 440, 660, 504 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, 814, 440, 660, 504. So, keep reading to learn more.
Given numbers are 733,814,440,660,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,814,440,660,504 is 751794120.
Find LCM of 733,814,440,660,504 with Prime Factorization
| 2 | 733, 814, 440, 660, 504 |
| 2 | 733, 407, 220, 330, 252 |
| 2 | 733, 407, 110, 165, 126 |
| 3 | 733, 407, 55, 165, 63 |
| 5 | 733, 407, 55, 55, 21 |
| 11 | 733, 407, 11, 11, 21 |
| 733, 37, 1, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 733 x 37 x 1 x 1 x 21 = 751794120
Therefore, the lowest common multiple of 733,814,440,660,504 is 751794120.
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 814 x 440 x 660 x 504 = 87328404979200
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
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
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,814,440,660,504, is 1.
Now, the common factors can be found like this.
733:733
814:2x 11x 37
440:2x 2x 2x 5x 11
660:2x 2x 3x 5x 11
504:2x 2x 2x 3x 3x 7
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 2x 3x 5x 11x 11 = 116160
Therefore, the value for common factors is 116160.
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 = 87328404979200/(1x116160)
LCM = 87328404979200/116160
LCM = 751794120
Thus, we can understand that the LCM of 733,814,440,660,504 is 751794120.
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FAQs on LCM of 733, 814, 440, 660, 504
1. What is the LCM of 733, 814, 440, 660, 504?
Answer: LCM of 733, 814, 440, 660, 504 is 751794120.
2. How to calculate the LCM of 733, 814, 440, 660, 504?
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, 814, 440, 660, 504.
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}.