LCM of 625, 794, 868, 805, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 794, 868, 805, 812 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 625, 794, 868, 805, 812. So, keep reading to learn more.
Given numbers are 625,794,868,805,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,794,868,805,812 is 143653457500.
Find LCM of 625,794,868,805,812 with Prime Factorization
| 2 | 625, 794, 868, 805, 812 |
| 2 | 625, 397, 434, 805, 406 |
| 5 | 625, 397, 217, 805, 203 |
| 7 | 125, 397, 217, 161, 203 |
| 125, 397, 31, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 125 x 397 x 31 x 23 x 29 = 143653457500
Therefore, the lowest common multiple of 625,794,868,805,812 is 143653457500.
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.
625 x 794 x 868 x 805 x 812 = 281560776700000
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.
625 : 1, 5, 25, 125, 625
794 : 1, 2, 397, 794
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
805 : 1, 5, 7, 23, 35, 115, 161, 805
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,794,868,805,812, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
794:2x 397
868:2x 2x 7x 31
805:5x 7x 23
812:2x 2x 7x 29
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 281560776700000/(1x1960)
LCM = 281560776700000/1960
LCM = 143653457500
Thus, we can understand that the LCM of 625,794,868,805,812 is 143653457500.
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FAQs on LCM of 625, 794, 868, 805, 812
1. What is the LCM of 625, 794, 868, 805, 812?
Answer: LCM of 625, 794, 868, 805, 812 is 143653457500.
2. How to calculate the LCM of 625, 794, 868, 805, 812?
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 625, 794, 868, 805, 812.
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}.