LCM of 828, 943, 744, 760, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 943, 744, 760, 895 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 828, 943, 744, 760, 895. So, keep reading to learn more.
Given numbers are 828,943,744,760,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,943,744,760,895 is 35791715880.
Find LCM of 828,943,744,760,895 with Prime Factorization
| 2 | 828, 943, 744, 760, 895 |
| 2 | 414, 943, 372, 380, 895 |
| 2 | 207, 943, 186, 190, 895 |
| 3 | 207, 943, 93, 95, 895 |
| 5 | 69, 943, 31, 95, 895 |
| 23 | 69, 943, 31, 19, 179 |
| 3, 41, 31, 19, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 3 x 41 x 31 x 19 x 179 = 35791715880
Therefore, the lowest common multiple of 828,943,744,760,895 is 35791715880.
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.
828 x 943 x 744 x 760 x 895 = 395140543315200
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
943 : 1, 23, 41, 943
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,943,744,760,895, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
943:23x 41
744:2x 2x 2x 3x 31
760:2x 2x 2x 5x 19
895:5x 179
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 3x 5x 23 = 11040
Therefore, the value for common factors is 11040.
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 = 395140543315200/(1x11040)
LCM = 395140543315200/11040
LCM = 35791715880
Thus, we can understand that the LCM of 828,943,744,760,895 is 35791715880.
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FAQs on LCM of 828, 943, 744, 760, 895
1. What is the LCM of 828, 943, 744, 760, 895?
Answer: LCM of 828, 943, 744, 760, 895 is 35791715880.
2. How to calculate the LCM of 828, 943, 744, 760, 895?
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 828, 943, 744, 760, 895.
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}.