LCM of 169, 306, 988, 527, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 306, 988, 527, 868 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 169, 306, 988, 527, 868. So, keep reading to learn more.
Given numbers are 169,306,988,527,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,306,988,527,868 is 426433644.
Find LCM of 169,306,988,527,868 with Prime Factorization
| 2 | 169, 306, 988, 527, 868 |
| 2 | 169, 153, 494, 527, 434 |
| 13 | 169, 153, 247, 527, 217 |
| 17 | 13, 153, 19, 527, 217 |
| 31 | 13, 9, 19, 31, 217 |
| 13, 9, 19, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 31 x 13 x 9 x 19 x 1 x 7 = 426433644
Therefore, the lowest common multiple of 169,306,988,527,868 is 426433644.
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.
169 x 306 x 988 x 527 x 868 = 23371975160352
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.
169 : 1, 13, 169
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
527 : 1, 17, 31, 527
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,306,988,527,868, is 1.
Now, the common factors can be found like this.
169:13x 13
306:2x 3x 3x 17
988:2x 2x 13x 19
527:17x 31
868:2x 2x 7x 31
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 13x 17x 31 = 54808
Therefore, the value for common factors is 54808.
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 = 23371975160352/(1x54808)
LCM = 23371975160352/54808
LCM = 426433644
Thus, we can understand that the LCM of 169,306,988,527,868 is 426433644.
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FAQs on LCM of 169, 306, 988, 527, 868
1. What is the LCM of 169, 306, 988, 527, 868?
Answer: LCM of 169, 306, 988, 527, 868 is 426433644.
2. How to calculate the LCM of 169, 306, 988, 527, 868?
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 169, 306, 988, 527, 868.
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}.