LCM of 456, 754, 638, 418, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 754, 638, 418, 683 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 456, 754, 638, 418, 683. So, keep reading to learn more.
Given numbers are 456,754,638,418,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,754,638,418,683 is 1291574856.
Find LCM of 456,754,638,418,683 with Prime Factorization
| 2 | 456, 754, 638, 418, 683 |
| 11 | 228, 377, 319, 209, 683 |
| 19 | 228, 377, 29, 19, 683 |
| 29 | 12, 377, 29, 1, 683 |
| 12, 13, 1, 1, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 29 x 12 x 13 x 1 x 1 x 683 = 1291574856
Therefore, the lowest common multiple of 456,754,638,418,683 is 1291574856.
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.
456 x 754 x 638 x 418 x 683 = 62625881617728
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
754 : 1, 2, 13, 26, 29, 58, 377, 754
638 : 1, 2, 11, 22, 29, 58, 319, 638
418 : 1, 2, 11, 19, 22, 38, 209, 418
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,754,638,418,683, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
754:2x 13x 29
638:2x 11x 29
418:2x 11x 19
683:683
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 29 = 48488
Therefore, the value for common factors is 48488.
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 = 62625881617728/(1x48488)
LCM = 62625881617728/48488
LCM = 1291574856
Thus, we can understand that the LCM of 456,754,638,418,683 is 1291574856.
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FAQs on LCM of 456, 754, 638, 418, 683
1. What is the LCM of 456, 754, 638, 418, 683?
Answer: LCM of 456, 754, 638, 418, 683 is 1291574856.
2. How to calculate the LCM of 456, 754, 638, 418, 683?
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 456, 754, 638, 418, 683.
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}.