LCM of 614, 161, 658, 138, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 161, 658, 138, 770 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 614, 161, 658, 138, 770. So, keep reading to learn more.
Given numbers are 614,161,658,138,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,161,658,138,770 is 766612770.
Find LCM of 614,161,658,138,770 with Prime Factorization
| 2 | 614, 161, 658, 138, 770 |
| 7 | 307, 161, 329, 69, 385 |
| 23 | 307, 23, 47, 69, 55 |
| 307, 1, 47, 3, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 307 x 1 x 47 x 3 x 55 = 766612770
Therefore, the lowest common multiple of 614,161,658,138,770 is 766612770.
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.
614 x 161 x 658 x 138 x 770 = 6911780734320
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.
614 : 1, 2, 307, 614
161 : 1, 7, 23, 161
658 : 1, 2, 7, 14, 47, 94, 329, 658
138 : 1, 2, 3, 6, 23, 46, 69, 138
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,161,658,138,770, is 1.
Now, the common factors can be found like this.
614:2x 307
161:7x 23
658:2x 7x 47
138:2x 3x 23
770:2x 5x 7x 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 7x 7x 23 = 9016
Therefore, the value for common factors is 9016.
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 = 6911780734320/(1x9016)
LCM = 6911780734320/9016
LCM = 766612770
Thus, we can understand that the LCM of 614,161,658,138,770 is 766612770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 161, 658, 138, 770
1. What is the LCM of 614, 161, 658, 138, 770?
Answer: LCM of 614, 161, 658, 138, 770 is 766612770.
2. How to calculate the LCM of 614, 161, 658, 138, 770?
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 614, 161, 658, 138, 770.
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}.