LCM of 234, 124, 598, 684, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 124, 598, 684, 988 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 234, 124, 598, 684, 988. So, keep reading to learn more.
Given numbers are 234,124,598,684,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,124,598,684,988 is 6339996.
Find LCM of 234,124,598,684,988 with Prime Factorization
| 2 | 234, 124, 598, 684, 988 |
| 2 | 117, 62, 299, 342, 494 |
| 3 | 117, 31, 299, 171, 247 |
| 3 | 39, 31, 299, 57, 247 |
| 13 | 13, 31, 299, 19, 247 |
| 19 | 1, 31, 23, 19, 19 |
| 1, 31, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 19 x 1 x 31 x 23 x 1 x 1 = 6339996
Therefore, the lowest common multiple of 234,124,598,684,988 is 6339996.
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.
234 x 124 x 598 x 684 x 988 = 11726050841856
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
124 : 1, 2, 4, 31, 62, 124
598 : 1, 2, 13, 23, 26, 46, 299, 598
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,124,598,684,988, is 2.
Now, the common factors can be found like this.
234:2x 3x 3x 13
124:2x 2x 31
598:2x 13x 23
684:2x 2x 3x 3x 19
988:2x 2x 13x 19
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 3x 3x 13x 13x 19 = 924768
Therefore, the value for common factors is 924768.
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 = 11726050841856/(2x924768)
LCM = 11726050841856/1849536
LCM = 6339996
Thus, we can understand that the LCM of 234,124,598,684,988 is 6339996.
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FAQs on LCM of 234, 124, 598, 684, 988
1. What is the LCM of 234, 124, 598, 684, 988?
Answer: LCM of 234, 124, 598, 684, 988 is 6339996.
2. How to calculate the LCM of 234, 124, 598, 684, 988?
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 234, 124, 598, 684, 988.
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}.