LCM of 418, 253, 188, 817, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 253, 188, 817, 564 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, 253, 188, 817, 564. So, keep reading to learn more.
Given numbers are 418,253,188,817,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,253,188,817,564 is 116579364.
Find LCM of 418,253,188,817,564 with Prime Factorization
| 2 | 418, 253, 188, 817, 564 |
| 2 | 209, 253, 94, 817, 282 |
| 11 | 209, 253, 47, 817, 141 |
| 19 | 19, 23, 47, 817, 141 |
| 47 | 1, 23, 47, 43, 141 |
| 1, 23, 1, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 47 x 1 x 23 x 1 x 43 x 3 = 116579364
Therefore, the lowest common multiple of 418,253,188,817,564 is 116579364.
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 253 x 188 x 817 x 564 = 9161272740576
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
253 : 1, 11, 23, 253
188 : 1, 2, 4, 47, 94, 188
817 : 1, 19, 43, 817
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,253,188,817,564, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
253:11x 23
188:2x 2x 47
817:19x 43
564:2x 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 11x 19x 47 = 78584
Therefore, the value for common factors is 78584.
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 = 9161272740576/(1x78584)
LCM = 9161272740576/78584
LCM = 116579364
Thus, we can understand that the LCM of 418,253,188,817,564 is 116579364.
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FAQs on LCM of 418, 253, 188, 817, 564
1. What is the LCM of 418, 253, 188, 817, 564?
Answer: LCM of 418, 253, 188, 817, 564 is 116579364.
2. How to calculate the LCM of 418, 253, 188, 817, 564?
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, 253, 188, 817, 564.
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}.