LCM of 973, 618, 868, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 618, 868, 309 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 973, 618, 868, 309. So, keep reading to learn more.
Given numbers are 973,618,868,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,618,868,309 is 37281468.
Find LCM of 973,618,868,309 with Prime Factorization
| 2 | 973, 618, 868, 309 |
| 3 | 973, 309, 434, 309 |
| 7 | 973, 103, 434, 103 |
| 103 | 139, 103, 62, 103 |
| 139, 1, 62, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 103 x 139 x 1 x 62 x 1 = 37281468
Therefore, the lowest common multiple of 973,618,868,309 is 37281468.
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.
973 x 618 x 868 x 309 = 161279630568
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.
973 : 1, 7, 139, 973
618 : 1, 2, 3, 6, 103, 206, 309, 618
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,618,868,309, is 1.
Now, the common factors can be found like this.
973:7x 139
618:2x 3x 103
868:2x 2x 7x 31
309:3x 103
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 103 = 4326
Therefore, the value for common factors is 4326.
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 = 161279630568/(1x4326)
LCM = 161279630568/4326
LCM = 37281468
Thus, we can understand that the LCM of 973,618,868,309 is 37281468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 973, 618, 868, 309
1. What is the LCM of 973, 618, 868, 309?
Answer: LCM of 973, 618, 868, 309 is 37281468.
2. How to calculate the LCM of 973, 618, 868, 309?
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 973, 618, 868, 309.
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}.