LCM of 825, 175, 403, 931, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 175, 403, 931, 752 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 825, 175, 403, 931, 752. So, keep reading to learn more.
Given numbers are 825,175,403,931,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,175,403,931,752 is 232769737200.
Find LCM of 825,175,403,931,752 with Prime Factorization
| 5 | 825, 175, 403, 931, 752 |
| 5 | 165, 35, 403, 931, 752 |
| 7 | 33, 7, 403, 931, 752 |
| 33, 1, 403, 133, 752 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 7 x 33 x 1 x 403 x 133 x 752 = 232769737200
Therefore, the lowest common multiple of 825,175,403,931,752 is 232769737200.
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.
825 x 175 x 403 x 931 x 752 = 40734704010000
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
175 : 1, 5, 7, 25, 35, 175
403 : 1, 13, 31, 403
931 : 1, 7, 19, 49, 133, 931
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,175,403,931,752, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
175:5x 5x 7
403:13x 31
931:7x 7x 19
752:2x 2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 40734704010000/(1x175)
LCM = 40734704010000/175
LCM = 232769737200
Thus, we can understand that the LCM of 825,175,403,931,752 is 232769737200.
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FAQs on LCM of 825, 175, 403, 931, 752
1. What is the LCM of 825, 175, 403, 931, 752?
Answer: LCM of 825, 175, 403, 931, 752 is 232769737200.
2. How to calculate the LCM of 825, 175, 403, 931, 752?
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 825, 175, 403, 931, 752.
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}.