LCM of 869, 624, 781, 517, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 624, 781, 517, 455 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 869, 624, 781, 517, 455. So, keep reading to learn more.
Given numbers are 869,624,781,517,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,624,781,517,455 is 63332789520.
Find LCM of 869,624,781,517,455 with Prime Factorization
| 11 | 869, 624, 781, 517, 455 |
| 13 | 79, 624, 71, 47, 455 |
| 79, 48, 71, 47, 35 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 79 x 48 x 71 x 47 x 35 = 63332789520
Therefore, the lowest common multiple of 869,624,781,517,455 is 63332789520.
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.
869 x 624 x 781 x 517 x 455 = 99622477914960
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.
869 : 1, 11, 79, 869
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
781 : 1, 11, 71, 781
517 : 1, 11, 47, 517
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,624,781,517,455, is 1.
Now, the common factors can be found like this.
869:11x 79
624:2x 2x 2x 2x 3x 13
781:11x 71
517:11x 47
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13 = 1573
Therefore, the value for common factors is 1573.
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 = 99622477914960/(1x1573)
LCM = 99622477914960/1573
LCM = 63332789520
Thus, we can understand that the LCM of 869,624,781,517,455 is 63332789520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 624, 781, 517, 455
1. What is the LCM of 869, 624, 781, 517, 455?
Answer: LCM of 869, 624, 781, 517, 455 is 63332789520.
2. How to calculate the LCM of 869, 624, 781, 517, 455?
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 869, 624, 781, 517, 455.
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}.