LCM of 237, 972, 135, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 972, 135, 294 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 237, 972, 135, 294. So, keep reading to learn more.
Given numbers are 237,972,135,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,972,135,294 is 18813060.
Find LCM of 237,972,135,294 with Prime Factorization
| 2 | 237, 972, 135, 294 |
| 3 | 237, 486, 135, 147 |
| 3 | 79, 162, 45, 49 |
| 3 | 79, 54, 15, 49 |
| 79, 18, 5, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 79 x 18 x 5 x 49 = 18813060
Therefore, the lowest common multiple of 237,972,135,294 is 18813060.
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.
237 x 972 x 135 x 294 = 9143147160
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.
237 : 1, 3, 79, 237
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
135 : 1, 3, 5, 9, 15, 27, 45, 135
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,972,135,294, is 3.
Now, the common factors can be found like this.
237:3x 79
972:2x 2x 3x 3x 3x 3x 3
135:3x 3x 3x 5
294:2x 3x 7x 7
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 3 = 162
Therefore, the value for common factors is 162.
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 = 9143147160/(3x162)
LCM = 9143147160/486
LCM = 18813060
Thus, we can understand that the LCM of 237,972,135,294 is 18813060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 972, 135, 294
1. What is the LCM of 237, 972, 135, 294?
Answer: LCM of 237, 972, 135, 294 is 18813060.
2. How to calculate the LCM of 237, 972, 135, 294?
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 237, 972, 135, 294.
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}.