LCM of 759, 781, 135, 782, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 781, 135, 782, 142 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 759, 781, 135, 782, 142. So, keep reading to learn more.
Given numbers are 759,781,135,782,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,781,135,782,142 is 82450170.
Find LCM of 759,781,135,782,142 with Prime Factorization
| 2 | 759, 781, 135, 782, 142 |
| 3 | 759, 781, 135, 391, 71 |
| 11 | 253, 781, 45, 391, 71 |
| 23 | 23, 71, 45, 391, 71 |
| 71 | 1, 71, 45, 17, 71 |
| 1, 1, 45, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 71 x 1 x 1 x 45 x 17 x 1 = 82450170
Therefore, the lowest common multiple of 759,781,135,782,142 is 82450170.
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.
759 x 781 x 135 x 782 x 142 = 8886314422260
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
781 : 1, 11, 71, 781
135 : 1, 3, 5, 9, 15, 27, 45, 135
782 : 1, 2, 17, 23, 34, 46, 391, 782
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,781,135,782,142, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
781:11x 71
135:3x 3x 3x 5
782:2x 17x 23
142:2x 71
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 11x 23x 71 = 107778
Therefore, the value for common factors is 107778.
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 = 8886314422260/(1x107778)
LCM = 8886314422260/107778
LCM = 82450170
Thus, we can understand that the LCM of 759,781,135,782,142 is 82450170.
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FAQs on LCM of 759, 781, 135, 782, 142
1. What is the LCM of 759, 781, 135, 782, 142?
Answer: LCM of 759, 781, 135, 782, 142 is 82450170.
2. How to calculate the LCM of 759, 781, 135, 782, 142?
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 759, 781, 135, 782, 142.
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}.