LCM of 169, 583, 138, 546, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 583, 138, 546, 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 169, 583, 138, 546, 972. So, keep reading to learn more.
Given numbers are 169,583,138,546,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,583,138,546,972 is 15418687284.
Find LCM of 169,583,138,546,972 with Prime Factorization
| 2 | 169, 583, 138, 546, 972 |
| 3 | 169, 583, 69, 273, 486 |
| 13 | 169, 583, 23, 91, 162 |
| 13, 583, 23, 7, 162 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 583 x 23 x 7 x 162 = 15418687284
Therefore, the lowest common multiple of 169,583,138,546,972 is 15418687284.
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 583 x 138 x 546 x 972 = 7215945648912
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
583 : 1, 11, 53, 583
138 : 1, 2, 3, 6, 23, 46, 69, 138
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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 169,583,138,546,972, is 1.
Now, the common factors can be found like this.
169:13x 13
583:11x 53
138:2x 3x 23
546:2x 3x 7x 13
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 13 = 468
Therefore, the value for common factors is 468.
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 = 7215945648912/(1x468)
LCM = 7215945648912/468
LCM = 15418687284
Thus, we can understand that the LCM of 169,583,138,546,972 is 15418687284.
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FAQs on LCM of 169, 583, 138, 546, 972
1. What is the LCM of 169, 583, 138, 546, 972?
Answer: LCM of 169, 583, 138, 546, 972 is 15418687284.
2. How to calculate the LCM of 169, 583, 138, 546, 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 169, 583, 138, 546, 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}.