LCM of 434, 758, 814, 734, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 758, 814, 734, 110 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 434, 758, 814, 734, 110. So, keep reading to learn more.
Given numbers are 434,758,814,734,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,758,814,734,110 is 122845546670.
Find LCM of 434,758,814,734,110 with Prime Factorization
| 2 | 434, 758, 814, 734, 110 |
| 11 | 217, 379, 407, 367, 55 |
| 217, 379, 37, 367, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 217 x 379 x 37 x 367 x 5 = 122845546670
Therefore, the lowest common multiple of 434,758,814,734,110 is 122845546670.
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.
434 x 758 x 814 x 734 x 110 = 21620816213920
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
758 : 1, 2, 379, 758
814 : 1, 2, 11, 22, 37, 74, 407, 814
734 : 1, 2, 367, 734
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,758,814,734,110, is 2.
Now, the common factors can be found like this.
434:2x 7x 31
758:2x 379
814:2x 11x 37
734:2x 367
110:2x 5x 11
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 11 = 88
Therefore, the value for common factors is 88.
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 = 21620816213920/(2x88)
LCM = 21620816213920/176
LCM = 122845546670
Thus, we can understand that the LCM of 434,758,814,734,110 is 122845546670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 758, 814, 734, 110
1. What is the LCM of 434, 758, 814, 734, 110?
Answer: LCM of 434, 758, 814, 734, 110 is 122845546670.
2. How to calculate the LCM of 434, 758, 814, 734, 110?
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 434, 758, 814, 734, 110.
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}.