LCM of 906, 927, 630, 665, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 927, 630, 665, 316 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, 927, 630, 665, 316. So, keep reading to learn more.
Given numbers are 906,927,630,665,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,927,630,665,316 is 29414766780.
Find LCM of 906,927,630,665,316 with Prime Factorization
| 2 | 906, 927, 630, 665, 316 |
| 3 | 453, 927, 315, 665, 158 |
| 3 | 151, 309, 105, 665, 158 |
| 5 | 151, 103, 35, 665, 158 |
| 7 | 151, 103, 7, 133, 158 |
| 151, 103, 1, 19, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 151 x 103 x 1 x 19 x 158 = 29414766780
Therefore, the lowest common multiple of 906,927,630,665,316 is 29414766780.
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 927 x 630 x 665 x 316 = 111187818428400
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
927 : 1, 3, 9, 103, 309, 927
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
665 : 1, 5, 7, 19, 35, 95, 133, 665
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,927,630,665,316, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
927:3x 3x 103
630:2x 3x 3x 5x 7
665:5x 7x 19
316:2x 2x 79
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 3x 5x 7 = 3780
Therefore, the value for common factors is 3780.
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 = 111187818428400/(1x3780)
LCM = 111187818428400/3780
LCM = 29414766780
Thus, we can understand that the LCM of 906,927,630,665,316 is 29414766780.
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FAQs on LCM of 906, 927, 630, 665, 316
1. What is the LCM of 906, 927, 630, 665, 316?
Answer: LCM of 906, 927, 630, 665, 316 is 29414766780.
2. How to calculate the LCM of 906, 927, 630, 665, 316?
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, 927, 630, 665, 316.
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}.