LCM of 318, 112, 988, 126, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 112, 988, 126, 468 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 318, 112, 988, 126, 468. So, keep reading to learn more.
Given numbers are 318,112,988,126,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,112,988,126,468 is 13195728.
Find LCM of 318,112,988,126,468 with Prime Factorization
| 2 | 318, 112, 988, 126, 468 |
| 2 | 159, 56, 494, 63, 234 |
| 3 | 159, 28, 247, 63, 117 |
| 3 | 53, 28, 247, 21, 39 |
| 7 | 53, 28, 247, 7, 13 |
| 13 | 53, 4, 247, 1, 13 |
| 53, 4, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 53 x 4 x 19 x 1 x 1 = 13195728
Therefore, the lowest common multiple of 318,112,988,126,468 is 13195728.
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.
318 x 112 x 988 x 126 x 468 = 2075001836544
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,112,988,126,468, is 2.
Now, the common factors can be found like this.
318:2x 3x 53
112:2x 2x 2x 2x 7
988:2x 2x 13x 19
126:2x 3x 3x 7
468:2x 2x 3x 3x 13
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 3x 7x 13 = 78624
Therefore, the value for common factors is 78624.
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 = 2075001836544/(2x78624)
LCM = 2075001836544/157248
LCM = 13195728
Thus, we can understand that the LCM of 318,112,988,126,468 is 13195728.
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FAQs on LCM of 318, 112, 988, 126, 468
1. What is the LCM of 318, 112, 988, 126, 468?
Answer: LCM of 318, 112, 988, 126, 468 is 13195728.
2. How to calculate the LCM of 318, 112, 988, 126, 468?
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 318, 112, 988, 126, 468.
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}.