LCM of 876, 789, 194, 414, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 789, 194, 414, 900 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 876, 789, 194, 414, 900. So, keep reading to learn more.
Given numbers are 876,789,194,414,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,789,194,414,900 is 38549672100.
Find LCM of 876,789,194,414,900 with Prime Factorization
| 2 | 876, 789, 194, 414, 900 |
| 2 | 438, 789, 97, 207, 450 |
| 3 | 219, 789, 97, 207, 225 |
| 3 | 73, 263, 97, 69, 75 |
| 73, 263, 97, 23, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 73 x 263 x 97 x 23 x 25 = 38549672100
Therefore, the lowest common multiple of 876,789,194,414,900 is 38549672100.
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.
876 x 789 x 194 x 414 x 900 = 49960375041600
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
789 : 1, 3, 263, 789
194 : 1, 2, 97, 194
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,789,194,414,900, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
789:3x 263
194:2x 97
414:2x 3x 3x 23
900:2x 2x 3x 3x 5x 5
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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 49960375041600/(1x1296)
LCM = 49960375041600/1296
LCM = 38549672100
Thus, we can understand that the LCM of 876,789,194,414,900 is 38549672100.
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FAQs on LCM of 876, 789, 194, 414, 900
1. What is the LCM of 876, 789, 194, 414, 900?
Answer: LCM of 876, 789, 194, 414, 900 is 38549672100.
2. How to calculate the LCM of 876, 789, 194, 414, 900?
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 876, 789, 194, 414, 900.
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}.