LCM of 902, 154, 105, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 154, 105, 321 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 902, 154, 105, 321. So, keep reading to learn more.
Given numbers are 902,154,105,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,154,105,321 is 10133970.
Find LCM of 902,154,105,321 with Prime Factorization
| 2 | 902, 154, 105, 321 |
| 3 | 451, 77, 105, 321 |
| 7 | 451, 77, 35, 107 |
| 11 | 451, 11, 5, 107 |
| 41, 1, 5, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 41 x 1 x 5 x 107 = 10133970
Therefore, the lowest common multiple of 902,154,105,321 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.
902 x 154 x 105 x 321 = 4681894140
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
154 : 1, 2, 7, 11, 14, 22, 77, 154
105 : 1, 3, 5, 7, 15, 21, 35, 105
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,154,105,321, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
154:2x 7x 11
105:3x 5x 7
321:3x 107
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 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 4681894140/(1x462)
LCM = 4681894140/462
LCM = 10133970
Thus, we can understand that the LCM of 902,154,105,321 is 10133970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 154, 105, 321
1. What is the LCM of 902, 154, 105, 321?
Answer: LCM of 902, 154, 105, 321 is 10133970.
2. How to calculate the LCM of 902, 154, 105, 321?
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 902, 154, 105, 321.
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}.