LCM of 658, 663, 501, 798, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 663, 501, 798, 552 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 658, 663, 501, 798, 552. So, keep reading to learn more.
Given numbers are 658,663,501,798,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,663,501,798,552 is 127349522664.
Find LCM of 658,663,501,798,552 with Prime Factorization
| 2 | 658, 663, 501, 798, 552 |
| 3 | 329, 663, 501, 399, 276 |
| 7 | 329, 221, 167, 133, 92 |
| 47, 221, 167, 19, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 221 x 167 x 19 x 92 = 127349522664
Therefore, the lowest common multiple of 658,663,501,798,552 is 127349522664.
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.
658 x 663 x 501 x 798 x 552 = 96276239133984
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
663 : 1, 3, 13, 17, 39, 51, 221, 663
501 : 1, 3, 167, 501
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,663,501,798,552, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
663:3x 13x 17
501:3x 167
798:2x 3x 7x 19
552:2x 2x 2x 3x 23
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 96276239133984/(1x756)
LCM = 96276239133984/756
LCM = 127349522664
Thus, we can understand that the LCM of 658,663,501,798,552 is 127349522664.
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FAQs on LCM of 658, 663, 501, 798, 552
1. What is the LCM of 658, 663, 501, 798, 552?
Answer: LCM of 658, 663, 501, 798, 552 is 127349522664.
2. How to calculate the LCM of 658, 663, 501, 798, 552?
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 658, 663, 501, 798, 552.
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}.