LCM of 906, 957, 492, 929, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 957, 492, 929, 638 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, 957, 492, 929, 638. So, keep reading to learn more.
Given numbers are 906,957,492,929,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,957,492,929,638 is 22016508492.
Find LCM of 906,957,492,929,638 with Prime Factorization
| 2 | 906, 957, 492, 929, 638 |
| 3 | 453, 957, 246, 929, 319 |
| 11 | 151, 319, 82, 929, 319 |
| 29 | 151, 29, 82, 929, 29 |
| 151, 1, 82, 929, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 151 x 1 x 82 x 929 x 1 = 22016508492
Therefore, the lowest common multiple of 906,957,492,929,638 is 22016508492.
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 957 x 492 x 929 x 638 = 252837583522128
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
929 : 1, 929
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,957,492,929,638, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
957:3x 11x 29
492:2x 2x 3x 41
929:929
638:2x 11x 29
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 3x 3x 11x 29 = 11484
Therefore, the value for common factors is 11484.
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 = 252837583522128/(1x11484)
LCM = 252837583522128/11484
LCM = 22016508492
Thus, we can understand that the LCM of 906,957,492,929,638 is 22016508492.
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FAQs on LCM of 906, 957, 492, 929, 638
1. What is the LCM of 906, 957, 492, 929, 638?
Answer: LCM of 906, 957, 492, 929, 638 is 22016508492.
2. How to calculate the LCM of 906, 957, 492, 929, 638?
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, 957, 492, 929, 638.
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}.