LCM of 910, 391, 909, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 391, 909, 138 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 910, 391, 909, 138. So, keep reading to learn more.
Given numbers are 910,391,909,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,391,909,138 is 323431290.
Find LCM of 910,391,909,138 with Prime Factorization
| 2 | 910, 391, 909, 138 |
| 3 | 455, 391, 909, 69 |
| 23 | 455, 391, 303, 23 |
| 455, 17, 303, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 455 x 17 x 303 x 1 = 323431290
Therefore, the lowest common multiple of 910,391,909,138 is 323431290.
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.
910 x 391 x 909 x 138 = 44633518020
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
391 : 1, 17, 23, 391
909 : 1, 3, 9, 101, 303, 909
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,391,909,138, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
391:17x 23
909:3x 3x 101
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 44633518020/(1x138)
LCM = 44633518020/138
LCM = 323431290
Thus, we can understand that the LCM of 910,391,909,138 is 323431290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 910, 391, 909, 138
1. What is the LCM of 910, 391, 909, 138?
Answer: LCM of 910, 391, 909, 138 is 323431290.
2. How to calculate the LCM of 910, 391, 909, 138?
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 910, 391, 909, 138.
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}.