LCM of 984, 214, 462, 460, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 214, 462, 460, 630 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 984, 214, 462, 460, 630. So, keep reading to learn more.
Given numbers are 984,214,462,460,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,214,462,460,630 is 2796975720.
Find LCM of 984,214,462,460,630 with Prime Factorization
| 2 | 984, 214, 462, 460, 630 |
| 2 | 492, 107, 231, 230, 315 |
| 3 | 246, 107, 231, 115, 315 |
| 5 | 82, 107, 77, 115, 105 |
| 7 | 82, 107, 77, 23, 21 |
| 82, 107, 11, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 82 x 107 x 11 x 23 x 3 = 2796975720
Therefore, the lowest common multiple of 984,214,462,460,630 is 2796975720.
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.
984 x 214 x 462 x 460 x 630 = 28193515257600
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
214 : 1, 2, 107, 214
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,214,462,460,630, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
214:2x 107
462:2x 3x 7x 11
460:2x 2x 5x 23
630:2x 3x 3x 5x 7
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 2x 2x 3x 3x 5x 7 = 5040
Therefore, the value for common factors is 5040.
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 = 28193515257600/(2x5040)
LCM = 28193515257600/10080
LCM = 2796975720
Thus, we can understand that the LCM of 984,214,462,460,630 is 2796975720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 984, 214, 462, 460, 630
1. What is the LCM of 984, 214, 462, 460, 630?
Answer: LCM of 984, 214, 462, 460, 630 is 2796975720.
2. How to calculate the LCM of 984, 214, 462, 460, 630?
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 984, 214, 462, 460, 630.
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}.