LCM of 782, 630, 690, 512, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 630, 690, 512, 845 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 782, 630, 690, 512, 845. So, keep reading to learn more.
Given numbers are 782,630,690,512,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,630,690,512,845 is 10657221120.
Find LCM of 782,630,690,512,845 with Prime Factorization
| 2 | 782, 630, 690, 512, 845 |
| 3 | 391, 315, 345, 256, 845 |
| 5 | 391, 105, 115, 256, 845 |
| 23 | 391, 21, 23, 256, 169 |
| 17, 21, 1, 256, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 17 x 21 x 1 x 256 x 169 = 10657221120
Therefore, the lowest common multiple of 782,630,690,512,845 is 10657221120.
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.
782 x 630 x 690 x 512 x 845 = 147069651456000
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,630,690,512,845, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
630:2x 3x 3x 5x 7
690:2x 3x 5x 23
512:2x 2x 2x 2x 2x 2x 2x 2x 2
845:5x 13x 13
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 3x 5x 5x 23 = 13800
Therefore, the value for common factors is 13800.
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 = 147069651456000/(1x13800)
LCM = 147069651456000/13800
LCM = 10657221120
Thus, we can understand that the LCM of 782,630,690,512,845 is 10657221120.
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FAQs on LCM of 782, 630, 690, 512, 845
1. What is the LCM of 782, 630, 690, 512, 845?
Answer: LCM of 782, 630, 690, 512, 845 is 10657221120.
2. How to calculate the LCM of 782, 630, 690, 512, 845?
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 782, 630, 690, 512, 845.
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}.