LCM of 542, 927, 824, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 927, 824, 732 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 542, 927, 824, 732. So, keep reading to learn more.
Given numbers are 542,927,824,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,927,824,732 is 122593896.
Find LCM of 542,927,824,732 with Prime Factorization
| 2 | 542, 927, 824, 732 |
| 2 | 271, 927, 412, 366 |
| 3 | 271, 927, 206, 183 |
| 103 | 271, 309, 206, 61 |
| 271, 3, 2, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 271 x 3 x 2 x 61 = 122593896
Therefore, the lowest common multiple of 542,927,824,732 is 122593896.
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.
542 x 927 x 824 x 732 = 303052110912
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.
542 : 1, 2, 271, 542
927 : 1, 3, 9, 103, 309, 927
824 : 1, 2, 4, 8, 103, 206, 412, 824
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,927,824,732, is 1.
Now, the common factors can be found like this.
542:2x 271
927:3x 3x 103
824:2x 2x 2x 103
732:2x 2x 3x 61
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 103 = 2472
Therefore, the value for common factors is 2472.
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 = 303052110912/(1x2472)
LCM = 303052110912/2472
LCM = 122593896
Thus, we can understand that the LCM of 542,927,824,732 is 122593896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 927, 824, 732
1. What is the LCM of 542, 927, 824, 732?
Answer: LCM of 542, 927, 824, 732 is 122593896.
2. How to calculate the LCM of 542, 927, 824, 732?
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 542, 927, 824, 732.
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}.