LCM of 895, 537, 312, 729, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 895, 537, 312, 729, 876 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 895, 537, 312, 729, 876. So, keep reading to learn more.
Given numbers are 895,537,312,729,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 895,537,312,729,876 is 4953438360.
Find LCM of 895,537,312,729,876 with Prime Factorization
| 2 | 895, 537, 312, 729, 876 |
| 2 | 895, 537, 156, 729, 438 |
| 3 | 895, 537, 78, 729, 219 |
| 179 | 895, 179, 26, 243, 73 |
| 5, 1, 26, 243, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 5 x 1 x 26 x 243 x 73 = 4953438360
Therefore, the lowest common multiple of 895,537,312,729,876 is 4953438360.
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.
895 x 537 x 312 x 729 x 876 = 95759870375520
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.
895 : 1, 5, 179, 895
537 : 1, 3, 179, 537
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
729 : 1, 3, 9, 27, 81, 243, 729
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,537,312,729,876, is 1.
Now, the common factors can be found like this.
895:5x 179
537:3x 179
312:2x 2x 2x 3x 13
729:3x 3x 3x 3x 3x 3
876:2x 2x 3x 73
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 3x 3x 3x 179 = 19332
Therefore, the value for common factors is 19332.
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 = 95759870375520/(1x19332)
LCM = 95759870375520/19332
LCM = 4953438360
Thus, we can understand that the LCM of 895,537,312,729,876 is 4953438360.
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FAQs on LCM of 895, 537, 312, 729, 876
1. What is the LCM of 895, 537, 312, 729, 876?
Answer: LCM of 895, 537, 312, 729, 876 is 4953438360.
2. How to calculate the LCM of 895, 537, 312, 729, 876?
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 895, 537, 312, 729, 876.
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}.