LCM of 789, 556, 610, 132, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 556, 610, 132, 445 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 789, 556, 610, 132, 445. So, keep reading to learn more.
Given numbers are 789,556,610,132,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,556,610,132,445 is 130988848980.
Find LCM of 789,556,610,132,445 with Prime Factorization
| 2 | 789, 556, 610, 132, 445 |
| 2 | 789, 278, 305, 66, 445 |
| 3 | 789, 139, 305, 33, 445 |
| 5 | 263, 139, 305, 11, 445 |
| 263, 139, 61, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 263 x 139 x 61 x 11 x 89 = 130988848980
Therefore, the lowest common multiple of 789,556,610,132,445 is 130988848980.
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.
789 x 556 x 610 x 132 x 445 = 15718661877600
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.
789 : 1, 3, 263, 789
556 : 1, 2, 4, 139, 278, 556
610 : 1, 2, 5, 10, 61, 122, 305, 610
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,556,610,132,445, is 1.
Now, the common factors can be found like this.
789:3x 263
556:2x 2x 139
610:2x 5x 61
132:2x 2x 3x 11
445:5x 89
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 15718661877600/(1x120)
LCM = 15718661877600/120
LCM = 130988848980
Thus, we can understand that the LCM of 789,556,610,132,445 is 130988848980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 556, 610, 132, 445
1. What is the LCM of 789, 556, 610, 132, 445?
Answer: LCM of 789, 556, 610, 132, 445 is 130988848980.
2. How to calculate the LCM of 789, 556, 610, 132, 445?
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 789, 556, 610, 132, 445.
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}.