LCM of 237, 225, 786, 840, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 225, 786, 840, 271 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, 225, 786, 840, 271. So, keep reading to learn more.
Given numbers are 237,225,786,840,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,225,786,840,271 is 35337695400.
Find LCM of 237,225,786,840,271 with Prime Factorization
| 2 | 237, 225, 786, 840, 271 |
| 3 | 237, 225, 393, 420, 271 |
| 5 | 79, 75, 131, 140, 271 |
| 79, 15, 131, 28, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 15 x 131 x 28 x 271 = 35337695400
Therefore, the lowest common multiple of 237,225,786,840,271 is 35337695400.
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 225 x 786 x 840 x 271 = 9541177758000
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
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
786 : 1, 2, 3, 6, 131, 262, 393, 786
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,225,786,840,271, is 1.
Now, the common factors can be found like this.
237:3x 79
225:3x 3x 5x 5
786:2x 3x 131
840:2x 2x 2x 3x 5x 7
271:271
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 5 = 270
Therefore, the value for common factors is 270.
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 = 9541177758000/(1x270)
LCM = 9541177758000/270
LCM = 35337695400
Thus, we can understand that the LCM of 237,225,786,840,271 is 35337695400.
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FAQs on LCM of 237, 225, 786, 840, 271
1. What is the LCM of 237, 225, 786, 840, 271?
Answer: LCM of 237, 225, 786, 840, 271 is 35337695400.
2. How to calculate the LCM of 237, 225, 786, 840, 271?
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, 225, 786, 840, 271.
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}.