LCM of 715, 883, 728, 805, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 883, 728, 805, 596 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 715, 883, 728, 805, 596. So, keep reading to learn more.
Given numbers are 715,883,728,805,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,883,728,805,596 is 121162681640.
Find LCM of 715,883,728,805,596 with Prime Factorization
| 2 | 715, 883, 728, 805, 596 |
| 2 | 715, 883, 364, 805, 298 |
| 5 | 715, 883, 182, 805, 149 |
| 7 | 143, 883, 182, 161, 149 |
| 13 | 143, 883, 26, 23, 149 |
| 11, 883, 2, 23, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 11 x 883 x 2 x 23 x 149 = 121162681640
Therefore, the lowest common multiple of 715,883,728,805,596 is 121162681640.
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.
715 x 883 x 728 x 805 x 596 = 220516080584800
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
883 : 1, 883
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
805 : 1, 5, 7, 23, 35, 115, 161, 805
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,883,728,805,596, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
883:883
728:2x 2x 2x 7x 13
805:5x 7x 23
596:2x 2x 149
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 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 220516080584800/(1x1820)
LCM = 220516080584800/1820
LCM = 121162681640
Thus, we can understand that the LCM of 715,883,728,805,596 is 121162681640.
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FAQs on LCM of 715, 883, 728, 805, 596
1. What is the LCM of 715, 883, 728, 805, 596?
Answer: LCM of 715, 883, 728, 805, 596 is 121162681640.
2. How to calculate the LCM of 715, 883, 728, 805, 596?
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 715, 883, 728, 805, 596.
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}.