LCM of 940, 807, 720, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 807, 720, 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 940, 807, 720, 812. So, keep reading to learn more.
Given numbers are 940,807,720,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,807,720,812 is 1847900880.
Find LCM of 940,807,720,812 with Prime Factorization
| 2 | 940, 807, 720, 812 |
| 2 | 470, 807, 360, 406 |
| 3 | 235, 807, 180, 203 |
| 5 | 235, 269, 60, 203 |
| 47, 269, 12, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 269 x 12 x 203 = 1847900880
Therefore, the lowest common multiple of 940,807,720,812 is 1847900880.
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.
940 x 807 x 720 x 812 = 443496211200
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
807 : 1, 3, 269, 807
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 940,807,720,812, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
807:3x 269
720:2x 2x 2x 2x 3x 3x 5
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 443496211200/(1x240)
LCM = 443496211200/240
LCM = 1847900880
Thus, we can understand that the LCM of 940,807,720,812 is 1847900880.
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FAQs on LCM of 940, 807, 720, 812
1. What is the LCM of 940, 807, 720, 812?
Answer: LCM of 940, 807, 720, 812 is 1847900880.
2. How to calculate the LCM of 940, 807, 720, 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 940, 807, 720, 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}.