LCM of 561, 457, 564, 738, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 457, 564, 738, 498 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 561, 457, 564, 738, 498. So, keep reading to learn more.
Given numbers are 561,457,564,738,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,457,564,738,498 is 492062325084.
Find LCM of 561,457,564,738,498 with Prime Factorization
| 2 | 561, 457, 564, 738, 498 |
| 3 | 561, 457, 282, 369, 249 |
| 187, 457, 94, 123, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 187 x 457 x 94 x 123 x 83 = 492062325084
Therefore, the lowest common multiple of 561,457,564,738,498 is 492062325084.
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.
561 x 457 x 564 x 738 x 498 = 53142731109072
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
457 : 1, 457
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,457,564,738,498, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
457:457
564:2x 2x 3x 47
738:2x 3x 3x 41
498:2x 3x 83
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 53142731109072/(1x108)
LCM = 53142731109072/108
LCM = 492062325084
Thus, we can understand that the LCM of 561,457,564,738,498 is 492062325084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 457, 564, 738, 498
1. What is the LCM of 561, 457, 564, 738, 498?
Answer: LCM of 561, 457, 564, 738, 498 is 492062325084.
2. How to calculate the LCM of 561, 457, 564, 738, 498?
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 561, 457, 564, 738, 498.
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}.