LCM of 153, 468, 138, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 468, 138, 478 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 153, 468, 138, 478. So, keep reading to learn more.
Given numbers are 153,468,138,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,468,138,478 is 43734132.
Find LCM of 153,468,138,478 with Prime Factorization
| 2 | 153, 468, 138, 478 |
| 3 | 153, 234, 69, 239 |
| 3 | 51, 78, 23, 239 |
| 17, 26, 23, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 26 x 23 x 239 = 43734132
Therefore, the lowest common multiple of 153,468,138,478 is 43734132.
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.
153 x 468 x 138 x 478 = 4723286256
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.
153 : 1, 3, 9, 17, 51, 153
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
138 : 1, 2, 3, 6, 23, 46, 69, 138
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,468,138,478, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
468:2x 2x 3x 3x 13
138:2x 3x 23
478:2x 239
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 3 = 108
Therefore, the value for common factors is 108.
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 = 4723286256/(1x108)
LCM = 4723286256/108
LCM = 43734132
Thus, we can understand that the LCM of 153,468,138,478 is 43734132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 468, 138, 478
1. What is the LCM of 153, 468, 138, 478?
Answer: LCM of 153, 468, 138, 478 is 43734132.
2. How to calculate the LCM of 153, 468, 138, 478?
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 153, 468, 138, 478.
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}.