LCM of 709, 889, 378, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 889, 378, 762 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 709, 889, 378, 762. So, keep reading to learn more.
Given numbers are 709,889,378,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,889,378,762 is 34036254.
Find LCM of 709,889,378,762 with Prime Factorization
| 2 | 709, 889, 378, 762 |
| 3 | 709, 889, 189, 381 |
| 7 | 709, 889, 63, 127 |
| 127 | 709, 127, 9, 127 |
| 709, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 709 x 1 x 9 x 1 = 34036254
Therefore, the lowest common multiple of 709,889,378,762 is 34036254.
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.
709 x 889 x 378 x 762 = 181549378836
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.
709 : 1, 709
889 : 1, 7, 127, 889
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,889,378,762, is 1.
Now, the common factors can be found like this.
709:709
889:7x 127
378:2x 3x 3x 3x 7
762:2x 3x 127
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 7x 127 = 5334
Therefore, the value for common factors is 5334.
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 = 181549378836/(1x5334)
LCM = 181549378836/5334
LCM = 34036254
Thus, we can understand that the LCM of 709,889,378,762 is 34036254.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 889, 378, 762
1. What is the LCM of 709, 889, 378, 762?
Answer: LCM of 709, 889, 378, 762 is 34036254.
2. How to calculate the LCM of 709, 889, 378, 762?
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 709, 889, 378, 762.
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}.