LCM of 677, 138, 902, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 138, 902, 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 677, 138, 902, 900. So, keep reading to learn more.
Given numbers are 677,138,902,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,138,902,900 is 6320268900.
Find LCM of 677,138,902,900 with Prime Factorization
| 2 | 677, 138, 902, 900 |
| 3 | 677, 69, 451, 450 |
| 677, 23, 451, 150 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 677 x 23 x 451 x 150 = 6320268900
Therefore, the lowest common multiple of 677,138,902,900 is 6320268900.
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.
677 x 138 x 902 x 900 = 75843226800
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.
677 : 1, 677
138 : 1, 2, 3, 6, 23, 46, 69, 138
902 : 1, 2, 11, 22, 41, 82, 451, 902
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 677,138,902,900, is 1.
Now, the common factors can be found like this.
677:677
138:2x 3x 23
902:2x 11x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 75843226800/(1x12)
LCM = 75843226800/12
LCM = 6320268900
Thus, we can understand that the LCM of 677,138,902,900 is 6320268900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 677, 138, 902, 900
1. What is the LCM of 677, 138, 902, 900?
Answer: LCM of 677, 138, 902, 900 is 6320268900.
2. How to calculate the LCM of 677, 138, 902, 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 677, 138, 902, 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}.