LCM of 153, 243, 459, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 243, 459, 942 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, 243, 459, 942. So, keep reading to learn more.
Given numbers are 153,243,459,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,243,459,942 is 1297134.
Find LCM of 153,243,459,942 with Prime Factorization
| 3 | 153, 243, 459, 942 |
| 3 | 51, 81, 153, 314 |
| 3 | 17, 27, 51, 314 |
| 17 | 17, 9, 17, 314 |
| 1, 9, 1, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 17 x 1 x 9 x 1 x 314 = 1297134
Therefore, the lowest common multiple of 153,243,459,942 is 1297134.
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 243 x 459 x 942 = 16075381662
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
243 : 1, 3, 9, 27, 81, 243
459 : 1, 3, 9, 17, 27, 51, 153, 459
942 : 1, 2, 3, 6, 157, 314, 471, 942
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,243,459,942, is 3.
Now, the common factors can be found like this.
153:3x 3x 17
243:3x 3x 3x 3x 3
459:3x 3x 3x 17
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 17 = 4131
Therefore, the value for common factors is 4131.
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 = 16075381662/(3x4131)
LCM = 16075381662/12393
LCM = 1297134
Thus, we can understand that the LCM of 153,243,459,942 is 1297134.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 243, 459, 942
1. What is the LCM of 153, 243, 459, 942?
Answer: LCM of 153, 243, 459, 942 is 1297134.
2. How to calculate the LCM of 153, 243, 459, 942?
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, 243, 459, 942.
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}.