LCM of 498, 420, 264, 217, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 420, 264, 217, 824 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 498, 420, 264, 217, 824. So, keep reading to learn more.
Given numbers are 498,420,264,217,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,420,264,217,824 is 2448775560.
Find LCM of 498,420,264,217,824 with Prime Factorization
| 2 | 498, 420, 264, 217, 824 |
| 2 | 249, 210, 132, 217, 412 |
| 2 | 249, 105, 66, 217, 206 |
| 3 | 249, 105, 33, 217, 103 |
| 7 | 83, 35, 11, 217, 103 |
| 83, 5, 11, 31, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 83 x 5 x 11 x 31 x 103 = 2448775560
Therefore, the lowest common multiple of 498,420,264,217,824 is 2448775560.
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.
498 x 420 x 264 x 217 x 824 = 9873463057920
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
217 : 1, 7, 31, 217
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,420,264,217,824, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
420:2x 2x 3x 5x 7
264:2x 2x 2x 3x 11
217:7x 31
824:2x 2x 2x 103
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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 9873463057920/(1x4032)
LCM = 9873463057920/4032
LCM = 2448775560
Thus, we can understand that the LCM of 498,420,264,217,824 is 2448775560.
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FAQs on LCM of 498, 420, 264, 217, 824
1. What is the LCM of 498, 420, 264, 217, 824?
Answer: LCM of 498, 420, 264, 217, 824 is 2448775560.
2. How to calculate the LCM of 498, 420, 264, 217, 824?
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 498, 420, 264, 217, 824.
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}.