LCM of 988, 646, 561, 702, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 646, 561, 702, 523 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, 646, 561, 702, 523. So, keep reading to learn more.
Given numbers are 988,646,561,702,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,646,561,702,523 is 2608939476.
Find LCM of 988,646,561,702,523 with Prime Factorization
| 2 | 988, 646, 561, 702, 523 |
| 3 | 494, 323, 561, 351, 523 |
| 13 | 494, 323, 187, 117, 523 |
| 17 | 38, 323, 187, 9, 523 |
| 19 | 38, 19, 11, 9, 523 |
| 2, 1, 11, 9, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 19 x 2 x 1 x 11 x 9 x 523 = 2608939476
Therefore, the lowest common multiple of 988,646,561,702,523 is 2608939476.
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 646 x 561 x 702 x 523 = 131459242316688
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
561 : 1, 3, 11, 17, 33, 51, 187, 561
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,646,561,702,523, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
646:2x 17x 19
561:3x 11x 17
702:2x 3x 3x 3x 13
523:523
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 13x 17x 19 = 50388
Therefore, the value for common factors is 50388.
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 = 131459242316688/(1x50388)
LCM = 131459242316688/50388
LCM = 2608939476
Thus, we can understand that the LCM of 988,646,561,702,523 is 2608939476.
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FAQs on LCM of 988, 646, 561, 702, 523
1. What is the LCM of 988, 646, 561, 702, 523?
Answer: LCM of 988, 646, 561, 702, 523 is 2608939476.
2. How to calculate the LCM of 988, 646, 561, 702, 523?
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, 646, 561, 702, 523.
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}.