LCM of 906, 692, 945, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 692, 945, 916 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 906, 692, 945, 916. So, keep reading to learn more.
Given numbers are 906,692,945,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,692,945,916 is 22612591260.
Find LCM of 906,692,945,916 with Prime Factorization
| 2 | 906, 692, 945, 916 |
| 2 | 453, 346, 945, 458 |
| 3 | 453, 173, 945, 229 |
| 151, 173, 315, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 173 x 315 x 229 = 22612591260
Therefore, the lowest common multiple of 906,692,945,916 is 22612591260.
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.
906 x 692 x 945 x 916 = 542702190240
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
692 : 1, 2, 4, 173, 346, 692
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,692,945,916, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
692:2x 2x 173
945:3x 3x 3x 5x 7
916:2x 2x 229
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 542702190240/(1x24)
LCM = 542702190240/24
LCM = 22612591260
Thus, we can understand that the LCM of 906,692,945,916 is 22612591260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 692, 945, 916
1. What is the LCM of 906, 692, 945, 916?
Answer: LCM of 906, 692, 945, 916 is 22612591260.
2. How to calculate the LCM of 906, 692, 945, 916?
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 906, 692, 945, 916.
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}.