LCM of 916, 521, 927, 817, 521
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 521, 927, 817, 521 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 916, 521, 927, 817, 521. So, keep reading to learn more.
Given numbers are 916,521,927,817,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,521,927,817,521 is 361438979724.
Find LCM of 916,521,927,817,521 with Prime Factorization
| 521 | 916, 521, 927, 817, 521 |
| 916, 1, 927, 817, 1 |
Multiply the prime numbers at the bottom and the left side.
521 x 916 x 1 x 927 x 817 x 1 = 361438979724
Therefore, the lowest common multiple of 916,521,927,817,521 is 361438979724.
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.
916 x 521 x 927 x 817 x 521 = 188309708436204
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.
916 : 1, 2, 4, 229, 458, 916
521 : 1, 521
927 : 1, 3, 9, 103, 309, 927
817 : 1, 19, 43, 817
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,521,927,817,521, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
521:521
927:3x 3x 103
817:19x 43
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
521 = 521
Therefore, the value for common factors is 521.
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 = 188309708436204/(1x521)
LCM = 188309708436204/521
LCM = 361438979724
Thus, we can understand that the LCM of 916,521,927,817,521 is 361438979724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 916, 521, 927, 817, 521
1. What is the LCM of 916, 521, 927, 817, 521?
Answer: LCM of 916, 521, 927, 817, 521 is 361438979724.
2. How to calculate the LCM of 916, 521, 927, 817, 521?
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 916, 521, 927, 817, 521.
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}.