LCM of 898, 973, 556, 616, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 973, 556, 616, 689 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 898, 973, 556, 616, 689. So, keep reading to learn more.
Given numbers are 898,973,556,616,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,973,556,616,689 is 26488726264.
Find LCM of 898,973,556,616,689 with Prime Factorization
| 2 | 898, 973, 556, 616, 689 |
| 2 | 449, 973, 278, 308, 689 |
| 7 | 449, 973, 139, 154, 689 |
| 139 | 449, 139, 139, 22, 689 |
| 449, 1, 1, 22, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 139 x 449 x 1 x 1 x 22 x 689 = 26488726264
Therefore, the lowest common multiple of 898,973,556,616,689 is 26488726264.
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.
898 x 973 x 556 x 616 x 689 = 206188245238976
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.
898 : 1, 2, 449, 898
973 : 1, 7, 139, 973
556 : 1, 2, 4, 139, 278, 556
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,973,556,616,689, is 1.
Now, the common factors can be found like this.
898:2x 449
973:7x 139
556:2x 2x 139
616:2x 2x 2x 7x 11
689:13x 53
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 139 = 7784
Therefore, the value for common factors is 7784.
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 = 206188245238976/(1x7784)
LCM = 206188245238976/7784
LCM = 26488726264
Thus, we can understand that the LCM of 898,973,556,616,689 is 26488726264.
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FAQs on LCM of 898, 973, 556, 616, 689
1. What is the LCM of 898, 973, 556, 616, 689?
Answer: LCM of 898, 973, 556, 616, 689 is 26488726264.
2. How to calculate the LCM of 898, 973, 556, 616, 689?
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 898, 973, 556, 616, 689.
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}.