LCM of 705, 618, 309, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 618, 309, 989 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 705, 618, 309, 989. So, keep reading to learn more.
Given numbers are 705,618,309,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,618,309,989 is 143632470.
Find LCM of 705,618,309,989 with Prime Factorization
| 3 | 705, 618, 309, 989 |
| 103 | 235, 206, 103, 989 |
| 235, 2, 1, 989 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 235 x 2 x 1 x 989 = 143632470
Therefore, the lowest common multiple of 705,618,309,989 is 143632470.
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.
705 x 618 x 309 x 989 = 133147299690
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
618 : 1, 2, 3, 6, 103, 206, 309, 618
309 : 1, 3, 103, 309
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,618,309,989, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
618:2x 3x 103
309:3x 103
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 103 = 927
Therefore, the value for common factors is 927.
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 = 133147299690/(1x927)
LCM = 133147299690/927
LCM = 143632470
Thus, we can understand that the LCM of 705,618,309,989 is 143632470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 618, 309, 989
1. What is the LCM of 705, 618, 309, 989?
Answer: LCM of 705, 618, 309, 989 is 143632470.
2. How to calculate the LCM of 705, 618, 309, 989?
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 705, 618, 309, 989.
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}.