LCM of 716, 496, 183, 825, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 496, 183, 825, 704 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 716, 496, 183, 825, 704. So, keep reading to learn more.
Given numbers are 716,496,183,825,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,496,183,825,704 is 17872219200.
Find LCM of 716,496,183,825,704 with Prime Factorization
| 2 | 716, 496, 183, 825, 704 |
| 2 | 358, 248, 183, 825, 352 |
| 2 | 179, 124, 183, 825, 176 |
| 2 | 179, 62, 183, 825, 88 |
| 3 | 179, 31, 183, 825, 44 |
| 11 | 179, 31, 61, 275, 44 |
| 179, 31, 61, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 179 x 31 x 61 x 25 x 4 = 17872219200
Therefore, the lowest common multiple of 716,496,183,825,704 is 17872219200.
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.
716 x 496 x 183 x 825 x 704 = 37746126950400
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.
716 : 1, 2, 4, 179, 358, 716
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
183 : 1, 3, 61, 183
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,496,183,825,704, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
496:2x 2x 2x 2x 31
183:3x 61
825:3x 5x 5x 11
704:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 37746126950400/(1x2112)
LCM = 37746126950400/2112
LCM = 17872219200
Thus, we can understand that the LCM of 716,496,183,825,704 is 17872219200.
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FAQs on LCM of 716, 496, 183, 825, 704
1. What is the LCM of 716, 496, 183, 825, 704?
Answer: LCM of 716, 496, 183, 825, 704 is 17872219200.
2. How to calculate the LCM of 716, 496, 183, 825, 704?
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 716, 496, 183, 825, 704.
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}.