LCM of 469, 742, 816, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 742, 816, 119 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, 742, 816, 119. So, keep reading to learn more.
Given numbers are 469,742,816,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,742,816,119 is 20283312.
Find LCM of 469,742,816,119 with Prime Factorization
| 2 | 469, 742, 816, 119 |
| 7 | 469, 371, 408, 119 |
| 17 | 67, 53, 408, 17 |
| 67, 53, 24, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 67 x 53 x 24 x 1 = 20283312
Therefore, the lowest common multiple of 469,742,816,119 is 20283312.
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 742 x 816 x 119 = 33791997792
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,742,816,119, is 1.
Now, the common factors can be found like this.
469:7x 67
742:2x 7x 53
816:2x 2x 2x 2x 3x 17
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 33791997792/(1x1666)
LCM = 33791997792/1666
LCM = 20283312
Thus, we can understand that the LCM of 469,742,816,119 is 20283312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 742, 816, 119
1. What is the LCM of 469, 742, 816, 119?
Answer: LCM of 469, 742, 816, 119 is 20283312.
2. How to calculate the LCM of 469, 742, 816, 119?
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, 742, 816, 119.
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}.