LCM of 282, 630, 811, 712, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 630, 811, 712, 917 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 282, 630, 811, 712, 917. So, keep reading to learn more.
Given numbers are 282,630,811,712,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,630,811,712,917 is 1119903379560.
Find LCM of 282,630,811,712,917 with Prime Factorization
| 2 | 282, 630, 811, 712, 917 |
| 3 | 141, 315, 811, 356, 917 |
| 7 | 47, 105, 811, 356, 917 |
| 47, 15, 811, 356, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 15 x 811 x 356 x 131 = 1119903379560
Therefore, the lowest common multiple of 282,630,811,712,917 is 1119903379560.
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.
282 x 630 x 811 x 712 x 917 = 94071883883040
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
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
811 : 1, 811
712 : 1, 2, 4, 8, 89, 178, 356, 712
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,630,811,712,917, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
630:2x 3x 3x 5x 7
811:811
712:2x 2x 2x 89
917:7x 131
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 7 = 84
Therefore, the value for common factors is 84.
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 = 94071883883040/(1x84)
LCM = 94071883883040/84
LCM = 1119903379560
Thus, we can understand that the LCM of 282,630,811,712,917 is 1119903379560.
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FAQs on LCM of 282, 630, 811, 712, 917
1. What is the LCM of 282, 630, 811, 712, 917?
Answer: LCM of 282, 630, 811, 712, 917 is 1119903379560.
2. How to calculate the LCM of 282, 630, 811, 712, 917?
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 282, 630, 811, 712, 917.
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}.