LCM of 605, 627, 739, 110, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 627, 739, 110, 301 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 605, 627, 739, 110, 301. So, keep reading to learn more.
Given numbers are 605,627,739,110,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,627,739,110,301 is 15341617830.
Find LCM of 605,627,739,110,301 with Prime Factorization
| 5 | 605, 627, 739, 110, 301 |
| 11 | 121, 627, 739, 22, 301 |
| 11, 57, 739, 2, 301 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 11 x 57 x 739 x 2 x 301 = 15341617830
Therefore, the lowest common multiple of 605,627,739,110,301 is 15341617830.
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.
605 x 627 x 739 x 110 x 301 = 9281678787150
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.
605 : 1, 5, 11, 55, 121, 605
627 : 1, 3, 11, 19, 33, 57, 209, 627
739 : 1, 739
110 : 1, 2, 5, 10, 11, 22, 55, 110
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,627,739,110,301, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
627:3x 11x 19
739:739
110:2x 5x 11
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 11 = 605
Therefore, the value for common factors is 605.
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 = 9281678787150/(1x605)
LCM = 9281678787150/605
LCM = 15341617830
Thus, we can understand that the LCM of 605,627,739,110,301 is 15341617830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 627, 739, 110, 301
1. What is the LCM of 605, 627, 739, 110, 301?
Answer: LCM of 605, 627, 739, 110, 301 is 15341617830.
2. How to calculate the LCM of 605, 627, 739, 110, 301?
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 605, 627, 739, 110, 301.
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}.