LCM of 988, 948, 297, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 948, 297, 684 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 988, 948, 297, 684. So, keep reading to learn more.
Given numbers are 988,948,297,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,948,297,684 is 23181444.
Find LCM of 988,948,297,684 with Prime Factorization
| 2 | 988, 948, 297, 684 |
| 2 | 494, 474, 297, 342 |
| 3 | 247, 237, 297, 171 |
| 3 | 247, 79, 99, 57 |
| 19 | 247, 79, 33, 19 |
| 13, 79, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 13 x 79 x 33 x 1 = 23181444
Therefore, the lowest common multiple of 988,948,297,684 is 23181444.
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.
988 x 948 x 297 x 684 = 190273292352
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
297 : 1, 3, 9, 11, 27, 33, 99, 297
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,948,297,684, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
948:2x 2x 3x 79
297:3x 3x 3x 11
684:2x 2x 3x 3x 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 3x 3x 3x 19 = 8208
Therefore, the value for common factors is 8208.
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 = 190273292352/(1x8208)
LCM = 190273292352/8208
LCM = 23181444
Thus, we can understand that the LCM of 988,948,297,684 is 23181444.
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FAQs on LCM of 988, 948, 297, 684
1. What is the LCM of 988, 948, 297, 684?
Answer: LCM of 988, 948, 297, 684 is 23181444.
2. How to calculate the LCM of 988, 948, 297, 684?
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 988, 948, 297, 684.
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}.