LCM of 927, 532, 240, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 927, 532, 240, 492 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 927, 532, 240, 492. So, keep reading to learn more.
Given numbers are 927,532,240,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 927,532,240,492 is 404394480.
Find LCM of 927,532,240,492 with Prime Factorization
| 2 | 927, 532, 240, 492 |
| 2 | 927, 266, 120, 246 |
| 3 | 927, 133, 60, 123 |
| 309, 133, 20, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 309 x 133 x 20 x 41 = 404394480
Therefore, the lowest common multiple of 927,532,240,492 is 404394480.
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.
927 x 532 x 240 x 492 = 58232805120
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.
927 : 1, 3, 9, 103, 309, 927
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,532,240,492, is 1.
Now, the common factors can be found like this.
927:3x 3x 103
532:2x 2x 7x 19
240:2x 2x 2x 2x 3x 5
492:2x 2x 3x 41
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 58232805120/(1x144)
LCM = 58232805120/144
LCM = 404394480
Thus, we can understand that the LCM of 927,532,240,492 is 404394480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 927, 532, 240, 492
1. What is the LCM of 927, 532, 240, 492?
Answer: LCM of 927, 532, 240, 492 is 404394480.
2. How to calculate the LCM of 927, 532, 240, 492?
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 927, 532, 240, 492.
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}.