LCM of 720, 422, 981, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 422, 981, 756 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 720, 422, 981, 756. So, keep reading to learn more.
Given numbers are 720,422,981,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,422,981,756 is 347744880.
Find LCM of 720,422,981,756 with Prime Factorization
| 2 | 720, 422, 981, 756 |
| 2 | 360, 211, 981, 378 |
| 3 | 180, 211, 981, 189 |
| 3 | 60, 211, 327, 63 |
| 20, 211, 109, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 20 x 211 x 109 x 21 = 347744880
Therefore, the lowest common multiple of 720,422,981,756 is 347744880.
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.
720 x 422 x 981 x 756 = 225338682240
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.
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
422 : 1, 2, 211, 422
981 : 1, 3, 9, 109, 327, 981
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,422,981,756, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
422:2x 211
981:3x 3x 109
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 225338682240/(1x648)
LCM = 225338682240/648
LCM = 347744880
Thus, we can understand that the LCM of 720,422,981,756 is 347744880.
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FAQs on LCM of 720, 422, 981, 756
1. What is the LCM of 720, 422, 981, 756?
Answer: LCM of 720, 422, 981, 756 is 347744880.
2. How to calculate the LCM of 720, 422, 981, 756?
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 720, 422, 981, 756.
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}.