LCM of 906, 149, 111, 888, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 149, 111, 888, 437 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, 149, 111, 888, 437. So, keep reading to learn more.
Given numbers are 906,149,111,888,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,149,111,888,437 is 8730871944.
Find LCM of 906,149,111,888,437 with Prime Factorization
| 2 | 906, 149, 111, 888, 437 |
| 3 | 453, 149, 111, 444, 437 |
| 37 | 151, 149, 37, 148, 437 |
| 151, 149, 1, 4, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 151 x 149 x 1 x 4 x 437 = 8730871944
Therefore, the lowest common multiple of 906,149,111,888,437 is 8730871944.
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 149 x 111 x 888 x 437 = 5814760714704
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
149 : 1, 149
111 : 1, 3, 37, 111
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,149,111,888,437, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
149:149
111:3x 37
888:2x 2x 2x 3x 37
437:19x 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 3x 37 = 666
Therefore, the value for common factors is 666.
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 = 5814760714704/(1x666)
LCM = 5814760714704/666
LCM = 8730871944
Thus, we can understand that the LCM of 906,149,111,888,437 is 8730871944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 149, 111, 888, 437
1. What is the LCM of 906, 149, 111, 888, 437?
Answer: LCM of 906, 149, 111, 888, 437 is 8730871944.
2. How to calculate the LCM of 906, 149, 111, 888, 437?
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, 149, 111, 888, 437.
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}.