LCM of 781, 568, 189, 119, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 568, 189, 119, 424 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 781, 568, 189, 119, 424. So, keep reading to learn more.
Given numbers are 781,568,189,119,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,568,189,119,424 is 1063965672.
Find LCM of 781,568,189,119,424 with Prime Factorization
| 2 | 781, 568, 189, 119, 424 |
| 2 | 781, 284, 189, 119, 212 |
| 2 | 781, 142, 189, 119, 106 |
| 7 | 781, 71, 189, 119, 53 |
| 71 | 781, 71, 27, 17, 53 |
| 11, 1, 27, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 71 x 11 x 1 x 27 x 17 x 53 = 1063965672
Therefore, the lowest common multiple of 781,568,189,119,424 is 1063965672.
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.
781 x 568 x 189 x 119 x 424 = 4230327511872
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.
781 : 1, 11, 71, 781
568 : 1, 2, 4, 8, 71, 142, 284, 568
189 : 1, 3, 7, 9, 21, 27, 63, 189
119 : 1, 7, 17, 119
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,568,189,119,424, is 1.
Now, the common factors can be found like this.
781:11x 71
568:2x 2x 2x 71
189:3x 3x 3x 7
119:7x 17
424:2x 2x 2x 53
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 2x 7x 71 = 3976
Therefore, the value for common factors is 3976.
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 = 4230327511872/(1x3976)
LCM = 4230327511872/3976
LCM = 1063965672
Thus, we can understand that the LCM of 781,568,189,119,424 is 1063965672.
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FAQs on LCM of 781, 568, 189, 119, 424
1. What is the LCM of 781, 568, 189, 119, 424?
Answer: LCM of 781, 568, 189, 119, 424 is 1063965672.
2. How to calculate the LCM of 781, 568, 189, 119, 424?
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 781, 568, 189, 119, 424.
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}.