LCM of 744, 633, 592, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 633, 592, 240 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 744, 633, 592, 240. So, keep reading to learn more.
Given numbers are 744,633,592,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,633,592,240 is 58084080.
Find LCM of 744,633,592,240 with Prime Factorization
| 2 | 744, 633, 592, 240 |
| 2 | 372, 633, 296, 120 |
| 2 | 186, 633, 148, 60 |
| 2 | 93, 633, 74, 30 |
| 3 | 93, 633, 37, 15 |
| 31, 211, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 31 x 211 x 37 x 5 = 58084080
Therefore, the lowest common multiple of 744,633,592,240 is 58084080.
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.
744 x 633 x 592 x 240 = 66912860160
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
633 : 1, 3, 211, 633
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,633,592,240, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
633:3x 211
592:2x 2x 2x 2x 37
240:2x 2x 2x 2x 3x 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 2x 2x 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 66912860160/(1x1152)
LCM = 66912860160/1152
LCM = 58084080
Thus, we can understand that the LCM of 744,633,592,240 is 58084080.
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FAQs on LCM of 744, 633, 592, 240
1. What is the LCM of 744, 633, 592, 240?
Answer: LCM of 744, 633, 592, 240 is 58084080.
2. How to calculate the LCM of 744, 633, 592, 240?
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 744, 633, 592, 240.
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}.