LCM of 469, 741, 108, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 741, 108, 210 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 469, 741, 108, 210. So, keep reading to learn more.
Given numbers are 469,741,108,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,741,108,210 is 62555220.
Find LCM of 469,741,108,210 with Prime Factorization
| 2 | 469, 741, 108, 210 |
| 3 | 469, 741, 54, 105 |
| 7 | 469, 247, 18, 35 |
| 67, 247, 18, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 67 x 247 x 18 x 5 = 62555220
Therefore, the lowest common multiple of 469,741,108,210 is 62555220.
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.
469 x 741 x 108 x 210 = 7881957720
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.
469 : 1, 7, 67, 469
741 : 1, 3, 13, 19, 39, 57, 247, 741
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,741,108,210, is 1.
Now, the common factors can be found like this.
469:7x 67
741:3x 13x 19
108:2x 2x 3x 3x 3
210:2x 3x 5x 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 7 = 126
Therefore, the value for common factors is 126.
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 = 7881957720/(1x126)
LCM = 7881957720/126
LCM = 62555220
Thus, we can understand that the LCM of 469,741,108,210 is 62555220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 741, 108, 210
1. What is the LCM of 469, 741, 108, 210?
Answer: LCM of 469, 741, 108, 210 is 62555220.
2. How to calculate the LCM of 469, 741, 108, 210?
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 469, 741, 108, 210.
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}.