LCM of 616, 516, 398, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 516, 398, 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 616, 516, 398, 407. So, keep reading to learn more.
Given numbers are 616,516,398,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,516,398,407 is 585093432.
Find LCM of 616,516,398,407 with Prime Factorization
| 2 | 616, 516, 398, 407 |
| 2 | 308, 258, 199, 407 |
| 11 | 154, 129, 199, 407 |
| 14, 129, 199, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 14 x 129 x 199 x 37 = 585093432
Therefore, the lowest common multiple of 616,516,398,407 is 585093432.
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.
616 x 516 x 398 x 407 = 51488222016
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
398 : 1, 2, 199, 398
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,516,398,407, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
516:2x 2x 3x 43
398:2x 199
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 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 51488222016/(1x88)
LCM = 51488222016/88
LCM = 585093432
Thus, we can understand that the LCM of 616,516,398,407 is 585093432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 616, 516, 398, 407
1. What is the LCM of 616, 516, 398, 407?
Answer: LCM of 616, 516, 398, 407 is 585093432.
2. How to calculate the LCM of 616, 516, 398, 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 616, 516, 398, 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}.