LCM of 757, 900, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 900, 906 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 757, 900, 906. So, keep reading to learn more.
Given numbers are 757,900,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,900,906 is 102876300.
Find LCM of 757,900,906 with Prime Factorization
| 2 | 757, 900, 906 |
| 3 | 757, 450, 453 |
| 757, 150, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 757 x 150 x 151 = 102876300
Therefore, the lowest common multiple of 757,900,906 is 102876300.
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.
757 x 900 x 906 = 617257800
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.
757 : 1, 757
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
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,900,906, is 1.
Now, the common factors can be found like this.
757:757
900:2x 2x 3x 3x 5x 5
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 617257800/(1x6)
LCM = 617257800/6
LCM = 102876300
Thus, we can understand that the LCM of 757,900,906 is 102876300.
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FAQs on LCM of 757, 900, 906
1. What is the LCM of 757, 900, 906?
Answer: LCM of 757, 900, 906 is 102876300.
2. How to calculate the LCM of 757, 900, 906?
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 757, 900, 906.
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}.