LCM of 845, 504, 105, 506, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 504, 105, 506, 693 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 845, 504, 105, 506, 693. So, keep reading to learn more.
Given numbers are 845,504,105,506,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,504,105,506,693 is 107747640.
Find LCM of 845,504,105,506,693 with Prime Factorization
| 2 | 845, 504, 105, 506, 693 |
| 3 | 845, 252, 105, 253, 693 |
| 3 | 845, 84, 35, 253, 231 |
| 5 | 845, 28, 35, 253, 77 |
| 7 | 169, 28, 7, 253, 77 |
| 11 | 169, 4, 1, 253, 11 |
| 169, 4, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 169 x 4 x 1 x 23 x 1 = 107747640
Therefore, the lowest common multiple of 845,504,105,506,693 is 107747640.
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.
845 x 504 x 105 x 506 x 693 = 15680514049200
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.
845 : 1, 5, 13, 65, 169, 845
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
105 : 1, 3, 5, 7, 15, 21, 35, 105
506 : 1, 2, 11, 22, 23, 46, 253, 506
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,504,105,506,693, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
504:2x 2x 2x 3x 3x 7
105:3x 5x 7
506:2x 11x 23
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 7x 11 = 145530
Therefore, the value for common factors is 145530.
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 = 15680514049200/(1x145530)
LCM = 15680514049200/145530
LCM = 107747640
Thus, we can understand that the LCM of 845,504,105,506,693 is 107747640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 504, 105, 506, 693
1. What is the LCM of 845, 504, 105, 506, 693?
Answer: LCM of 845, 504, 105, 506, 693 is 107747640.
2. How to calculate the LCM of 845, 504, 105, 506, 693?
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 845, 504, 105, 506, 693.
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}.