LCM of 818, 756, 473, 688, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 756, 473, 688, 112 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 818, 756, 473, 688, 112. So, keep reading to learn more.
Given numbers are 818,756,473,688,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,756,473,688,112 is 585013968.
Find LCM of 818,756,473,688,112 with Prime Factorization
| 2 | 818, 756, 473, 688, 112 |
| 2 | 409, 378, 473, 344, 56 |
| 2 | 409, 189, 473, 172, 28 |
| 2 | 409, 189, 473, 86, 14 |
| 7 | 409, 189, 473, 43, 7 |
| 43 | 409, 27, 473, 43, 1 |
| 409, 27, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 43 x 409 x 27 x 11 x 1 x 1 = 585013968
Therefore, the lowest common multiple of 818,756,473,688,112 is 585013968.
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.
818 x 756 x 473 x 688 x 112 = 22539418159104
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.
818 : 1, 2, 409, 818
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
473 : 1, 11, 43, 473
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,756,473,688,112, is 1.
Now, the common factors can be found like this.
818:2x 409
756:2x 2x 3x 3x 3x 7
473:11x 43
688:2x 2x 2x 2x 43
112:2x 2x 2x 2x 7
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 2x 2x 2x 2x 7x 43 = 38528
Therefore, the value for common factors is 38528.
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 = 22539418159104/(1x38528)
LCM = 22539418159104/38528
LCM = 585013968
Thus, we can understand that the LCM of 818,756,473,688,112 is 585013968.
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FAQs on LCM of 818, 756, 473, 688, 112
1. What is the LCM of 818, 756, 473, 688, 112?
Answer: LCM of 818, 756, 473, 688, 112 is 585013968.
2. How to calculate the LCM of 818, 756, 473, 688, 112?
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 818, 756, 473, 688, 112.
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}.