LCM of 237, 321, 474, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 321, 474, 870 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, 321, 474, 870. So, keep reading to learn more.
Given numbers are 237,321,474,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,321,474,870 is 7354110.
Find LCM of 237,321,474,870 with Prime Factorization
| 2 | 237, 321, 474, 870 |
| 3 | 237, 321, 237, 435 |
| 79 | 79, 107, 79, 145 |
| 1, 107, 1, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 79 x 1 x 107 x 1 x 145 = 7354110
Therefore, the lowest common multiple of 237,321,474,870 is 7354110.
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 321 x 474 x 870 = 31372633260
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
321 : 1, 3, 107, 321
474 : 1, 2, 3, 6, 79, 158, 237, 474
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,321,474,870, is 3.
Now, the common factors can be found like this.
237:3x 79
321:3x 107
474:2x 3x 79
870:2x 3x 5x 29
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 79 = 1422
Therefore, the value for common factors is 1422.
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 = 31372633260/(3x1422)
LCM = 31372633260/4266
LCM = 7354110
Thus, we can understand that the LCM of 237,321,474,870 is 7354110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 321, 474, 870
1. What is the LCM of 237, 321, 474, 870?
Answer: LCM of 237, 321, 474, 870 is 7354110.
2. How to calculate the LCM of 237, 321, 474, 870?
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, 321, 474, 870.
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}.