LCM of 105, 107, 902, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 107, 902, 110 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 105, 107, 902, 110. So, keep reading to learn more.
Given numbers are 105,107,902,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,107,902,110 is 10133970.
Find LCM of 105,107,902,110 with Prime Factorization
| 2 | 105, 107, 902, 110 |
| 5 | 105, 107, 451, 55 |
| 11 | 21, 107, 451, 11 |
| 21, 107, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 21 x 107 x 41 x 1 = 10133970
Therefore, the lowest common multiple of 105,107,902,110 is 10133970.
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.
105 x 107 x 902 x 110 = 1114736700
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
107 : 1, 107
902 : 1, 2, 11, 22, 41, 82, 451, 902
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,107,902,110, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
107:107
902:2x 11x 41
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 1114736700/(1x110)
LCM = 1114736700/110
LCM = 10133970
Thus, we can understand that the LCM of 105,107,902,110 is 10133970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 107, 902, 110
1. What is the LCM of 105, 107, 902, 110?
Answer: LCM of 105, 107, 902, 110 is 10133970.
2. How to calculate the LCM of 105, 107, 902, 110?
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 105, 107, 902, 110.
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}.