LCM of 683, 506, 588, 442, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 506, 588, 442, 407 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 683, 506, 588, 442, 407. So, keep reading to learn more.
Given numbers are 683,506,588,442,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,506,588,442,407 is 830830724724.
Find LCM of 683,506,588,442,407 with Prime Factorization
| 2 | 683, 506, 588, 442, 407 |
| 11 | 683, 253, 294, 221, 407 |
| 683, 23, 294, 221, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 683 x 23 x 294 x 221 x 37 = 830830724724
Therefore, the lowest common multiple of 683,506,588,442,407 is 830830724724.
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.
683 x 506 x 588 x 442 x 407 = 36556551887856
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.
683 : 1, 683
506 : 1, 2, 11, 22, 23, 46, 253, 506
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
442 : 1, 2, 13, 17, 26, 34, 221, 442
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,506,588,442,407, is 1.
Now, the common factors can be found like this.
683:683
506:2x 11x 23
588:2x 2x 3x 7x 7
442:2x 13x 17
407:11x 37
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 11 = 44
Therefore, the value for common factors is 44.
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 = 36556551887856/(1x44)
LCM = 36556551887856/44
LCM = 830830724724
Thus, we can understand that the LCM of 683,506,588,442,407 is 830830724724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 683, 506, 588, 442, 407
1. What is the LCM of 683, 506, 588, 442, 407?
Answer: LCM of 683, 506, 588, 442, 407 is 830830724724.
2. How to calculate the LCM of 683, 506, 588, 442, 407?
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 683, 506, 588, 442, 407.
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}.