LCM of 308, 508, 688, 616, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 508, 688, 616, 998 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 308, 508, 688, 616, 998. So, keep reading to learn more.
Given numbers are 308,508,688,616,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,508,688,616,998 is 3357248048.
Find LCM of 308,508,688,616,998 with Prime Factorization
| 2 | 308, 508, 688, 616, 998 |
| 2 | 154, 254, 344, 308, 499 |
| 2 | 77, 127, 172, 154, 499 |
| 7 | 77, 127, 86, 77, 499 |
| 11 | 11, 127, 86, 11, 499 |
| 1, 127, 86, 1, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 127 x 86 x 1 x 499 = 3357248048
Therefore, the lowest common multiple of 308,508,688,616,998 is 3357248048.
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.
308 x 508 x 688 x 616 x 998 = 66178073522176
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
508 : 1, 2, 4, 127, 254, 508
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
998 : 1, 2, 499, 998
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,508,688,616,998, is 2.
Now, the common factors can be found like this.
308:2x 2x 7x 11
508:2x 2x 127
688:2x 2x 2x 2x 43
616:2x 2x 2x 7x 11
998:2x 499
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 11 = 9856
Therefore, the value for common factors is 9856.
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 = 66178073522176/(2x9856)
LCM = 66178073522176/19712
LCM = 3357248048
Thus, we can understand that the LCM of 308,508,688,616,998 is 3357248048.
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FAQs on LCM of 308, 508, 688, 616, 998
1. What is the LCM of 308, 508, 688, 616, 998?
Answer: LCM of 308, 508, 688, 616, 998 is 3357248048.
2. How to calculate the LCM of 308, 508, 688, 616, 998?
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 308, 508, 688, 616, 998.
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}.