LCM of 547, 278, 824, 702, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 278, 824, 702, 738 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 547, 278, 824, 702, 738. So, keep reading to learn more.
Given numbers are 547,278,824,702,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,278,824,702,738 is 901613304072.
Find LCM of 547,278,824,702,738 with Prime Factorization
| 2 | 547, 278, 824, 702, 738 |
| 3 | 547, 139, 412, 351, 369 |
| 3 | 547, 139, 412, 117, 123 |
| 547, 139, 412, 39, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 547 x 139 x 412 x 39 x 41 = 901613304072
Therefore, the lowest common multiple of 547,278,824,702,738 is 901613304072.
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.
547 x 278 x 824 x 702 x 738 = 64916157893184
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.
547 : 1, 547
278 : 1, 2, 139, 278
824 : 1, 2, 4, 8, 103, 206, 412, 824
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,278,824,702,738, is 1.
Now, the common factors can be found like this.
547:547
278:2x 139
824:2x 2x 2x 103
702:2x 3x 3x 3x 13
738:2x 3x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 64916157893184/(1x72)
LCM = 64916157893184/72
LCM = 901613304072
Thus, we can understand that the LCM of 547,278,824,702,738 is 901613304072.
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FAQs on LCM of 547, 278, 824, 702, 738
1. What is the LCM of 547, 278, 824, 702, 738?
Answer: LCM of 547, 278, 824, 702, 738 is 901613304072.
2. How to calculate the LCM of 547, 278, 824, 702, 738?
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 547, 278, 824, 702, 738.
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}.