LCM of 411, 770, 735, 740, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 770, 735, 740, 218 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 411, 770, 735, 740, 218. So, keep reading to learn more.
Given numbers are 411,770,735,740,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,770,735,740,218 is 17868529140.
Find LCM of 411,770,735,740,218 with Prime Factorization
| 2 | 411, 770, 735, 740, 218 |
| 3 | 411, 385, 735, 370, 109 |
| 5 | 137, 385, 245, 370, 109 |
| 7 | 137, 77, 49, 74, 109 |
| 137, 11, 7, 74, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 137 x 11 x 7 x 74 x 109 = 17868529140
Therefore, the lowest common multiple of 411,770,735,740,218 is 17868529140.
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.
411 x 770 x 735 x 740 x 218 = 37523911194000
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.
411 : 1, 3, 137, 411
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,770,735,740,218, is 1.
Now, the common factors can be found like this.
411:3x 137
770:2x 5x 7x 11
735:3x 5x 7x 7
740:2x 2x 5x 37
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 37523911194000/(1x2100)
LCM = 37523911194000/2100
LCM = 17868529140
Thus, we can understand that the LCM of 411,770,735,740,218 is 17868529140.
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FAQs on LCM of 411, 770, 735, 740, 218
1. What is the LCM of 411, 770, 735, 740, 218?
Answer: LCM of 411, 770, 735, 740, 218 is 17868529140.
2. How to calculate the LCM of 411, 770, 735, 740, 218?
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 411, 770, 735, 740, 218.
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}.