LCM of 418, 501, 188, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 501, 188, 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 418, 501, 188, 282. So, keep reading to learn more.
Given numbers are 418,501,188,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,501,188,282 is 19685292.
Find LCM of 418,501,188,282 with Prime Factorization
| 2 | 418, 501, 188, 282 |
| 3 | 209, 501, 94, 141 |
| 47 | 209, 167, 94, 47 |
| 209, 167, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 209 x 167 x 2 x 1 = 19685292
Therefore, the lowest common multiple of 418,501,188,282 is 19685292.
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.
418 x 501 x 188 x 282 = 11102504688
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
501 : 1, 3, 167, 501
188 : 1, 2, 4, 47, 94, 188
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 418,501,188,282, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
501:3x 167
188:2x 2x 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 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 11102504688/(1x564)
LCM = 11102504688/564
LCM = 19685292
Thus, we can understand that the LCM of 418,501,188,282 is 19685292.
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FAQs on LCM of 418, 501, 188, 282
1. What is the LCM of 418, 501, 188, 282?
Answer: LCM of 418, 501, 188, 282 is 19685292.
2. How to calculate the LCM of 418, 501, 188, 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 418, 501, 188, 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}.