LCM of 988, 194, 528, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 194, 528, 957 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, 194, 528, 957. So, keep reading to learn more.
Given numbers are 988,194,528,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,194,528,957 is 366860208.
Find LCM of 988,194,528,957 with Prime Factorization
| 2 | 988, 194, 528, 957 |
| 2 | 494, 97, 264, 957 |
| 3 | 247, 97, 132, 957 |
| 11 | 247, 97, 44, 319 |
| 247, 97, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 247 x 97 x 4 x 29 = 366860208
Therefore, the lowest common multiple of 988,194,528,957 is 366860208.
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 194 x 528 x 957 = 96851094912
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
194 : 1, 2, 97, 194
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,194,528,957, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
194:2x 97
528:2x 2x 2x 2x 3x 11
957:3x 11x 29
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 96851094912/(1x264)
LCM = 96851094912/264
LCM = 366860208
Thus, we can understand that the LCM of 988,194,528,957 is 366860208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 194, 528, 957
1. What is the LCM of 988, 194, 528, 957?
Answer: LCM of 988, 194, 528, 957 is 366860208.
2. How to calculate the LCM of 988, 194, 528, 957?
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, 194, 528, 957.
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}.