LCM of 548, 513, 901, 837, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 513, 901, 837, 714 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 548, 513, 901, 837, 714. So, keep reading to learn more.
Given numbers are 548,513,901,837,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,513,901,837,714 is 54964521108.
Find LCM of 548,513,901,837,714 with Prime Factorization
| 2 | 548, 513, 901, 837, 714 |
| 3 | 274, 513, 901, 837, 357 |
| 3 | 274, 171, 901, 279, 119 |
| 3 | 274, 57, 901, 93, 119 |
| 17 | 274, 19, 901, 31, 119 |
| 274, 19, 53, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 274 x 19 x 53 x 31 x 7 = 54964521108
Therefore, the lowest common multiple of 548,513,901,837,714 is 54964521108.
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.
548 x 513 x 901 x 837 x 714 = 151372291131432
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.
548 : 1, 2, 4, 137, 274, 548
513 : 1, 3, 9, 19, 27, 57, 171, 513
901 : 1, 17, 53, 901
837 : 1, 3, 9, 27, 31, 93, 279, 837
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,513,901,837,714, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
513:3x 3x 3x 19
901:17x 53
837:3x 3x 3x 31
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 17 = 2754
Therefore, the value for common factors is 2754.
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 = 151372291131432/(1x2754)
LCM = 151372291131432/2754
LCM = 54964521108
Thus, we can understand that the LCM of 548,513,901,837,714 is 54964521108.
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FAQs on LCM of 548, 513, 901, 837, 714
1. What is the LCM of 548, 513, 901, 837, 714?
Answer: LCM of 548, 513, 901, 837, 714 is 54964521108.
2. How to calculate the LCM of 548, 513, 901, 837, 714?
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 548, 513, 901, 837, 714.
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}.