LCM of 658, 228, 501, 658, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 228, 501, 658, 282 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, 228, 501, 658, 282. So, keep reading to learn more.
Given numbers are 658,228,501,658,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,228,501,658,282 is 12527004.
Find LCM of 658,228,501,658,282 with Prime Factorization
| 2 | 658, 228, 501, 658, 282 |
| 3 | 329, 114, 501, 329, 141 |
| 7 | 329, 38, 167, 329, 47 |
| 47 | 47, 38, 167, 47, 47 |
| 1, 38, 167, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 1 x 38 x 167 x 1 x 1 = 12527004
Therefore, the lowest common multiple of 658,228,501,658,282 is 12527004.
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 228 x 501 x 658 x 282 = 13946764525344
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
501 : 1, 3, 167, 501
658 : 1, 2, 7, 14, 47, 94, 329, 658
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,228,501,658,282, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
228:2x 2x 3x 19
501:3x 167
658:2x 7x 47
282:2x 3x 47
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 3x 7x 47x 47 = 1113336
Therefore, the value for common factors is 1113336.
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 = 13946764525344/(1x1113336)
LCM = 13946764525344/1113336
LCM = 12527004
Thus, we can understand that the LCM of 658,228,501,658,282 is 12527004.
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FAQs on LCM of 658, 228, 501, 658, 282
1. What is the LCM of 658, 228, 501, 658, 282?
Answer: LCM of 658, 228, 501, 658, 282 is 12527004.
2. How to calculate the LCM of 658, 228, 501, 658, 282?
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, 228, 501, 658, 282.
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}.