LCM of 702, 289, 153, 578, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 289, 153, 578, 123 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 702, 289, 153, 578, 123. So, keep reading to learn more.
Given numbers are 702,289,153,578,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,289,153,578,123 is 8317998.
Find LCM of 702,289,153,578,123 with Prime Factorization
| 2 | 702, 289, 153, 578, 123 |
| 3 | 351, 289, 153, 289, 123 |
| 3 | 117, 289, 51, 289, 41 |
| 17 | 39, 289, 17, 289, 41 |
| 17 | 39, 1, 17, 17, 41 |
| 39, 1, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 17 x 39 x 1 x 1 x 1 x 41 = 8317998
Therefore, the lowest common multiple of 702,289,153,578,123 is 8317998.
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.
702 x 289 x 153 x 578 x 123 = 2206781505396
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
289 : 1, 17, 289
153 : 1, 3, 9, 17, 51, 153
578 : 1, 2, 17, 34, 289, 578
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,289,153,578,123, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
289:17x 17
153:3x 3x 17
578:2x 17x 17
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 17x 17x 17 = 265302
Therefore, the value for common factors is 265302.
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 = 2206781505396/(1x265302)
LCM = 2206781505396/265302
LCM = 8317998
Thus, we can understand that the LCM of 702,289,153,578,123 is 8317998.
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FAQs on LCM of 702, 289, 153, 578, 123
1. What is the LCM of 702, 289, 153, 578, 123?
Answer: LCM of 702, 289, 153, 578, 123 is 8317998.
2. How to calculate the LCM of 702, 289, 153, 578, 123?
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 702, 289, 153, 578, 123.
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}.