LCM of 988, 267, 589, 627, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 267, 589, 627, 972 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, 267, 589, 627, 972. So, keep reading to learn more.
Given numbers are 988,267,589,627,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,267,589,627,972 is 7286309316.
Find LCM of 988,267,589,627,972 with Prime Factorization
| 2 | 988, 267, 589, 627, 972 |
| 2 | 494, 267, 589, 627, 486 |
| 3 | 247, 267, 589, 627, 243 |
| 19 | 247, 89, 589, 209, 81 |
| 13, 89, 31, 11, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 13 x 89 x 31 x 11 x 81 = 7286309316
Therefore, the lowest common multiple of 988,267,589,627,972 is 7286309316.
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 267 x 589 x 627 x 972 = 94692875870736
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
267 : 1, 3, 89, 267
589 : 1, 19, 31, 589
627 : 1, 3, 11, 19, 33, 57, 209, 627
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,267,589,627,972, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
267:3x 89
589:19x 31
627:3x 11x 19
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 19x 19 = 12996
Therefore, the value for common factors is 12996.
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 = 94692875870736/(1x12996)
LCM = 94692875870736/12996
LCM = 7286309316
Thus, we can understand that the LCM of 988,267,589,627,972 is 7286309316.
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FAQs on LCM of 988, 267, 589, 627, 972
1. What is the LCM of 988, 267, 589, 627, 972?
Answer: LCM of 988, 267, 589, 627, 972 is 7286309316.
2. How to calculate the LCM of 988, 267, 589, 627, 972?
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, 267, 589, 627, 972.
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}.