LCM of 941, 714, 963, 420, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 714, 963, 420, 422 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 941, 714, 963, 420, 422. So, keep reading to learn more.
Given numbers are 941,714,963,420,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,714,963,420,422 is 455066978940.
Find LCM of 941,714,963,420,422 with Prime Factorization
| 2 | 941, 714, 963, 420, 422 |
| 3 | 941, 357, 963, 210, 211 |
| 7 | 941, 119, 321, 70, 211 |
| 941, 17, 321, 10, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 941 x 17 x 321 x 10 x 211 = 455066978940
Therefore, the lowest common multiple of 941,714,963,420,422 is 455066978940.
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.
941 x 714 x 963 x 420 x 422 = 114676878692880
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.
941 : 1, 941
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
963 : 1, 3, 9, 107, 321, 963
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,714,963,420,422, is 1.
Now, the common factors can be found like this.
941:941
714:2x 3x 7x 17
963:3x 3x 107
420:2x 2x 3x 5x 7
422:2x 211
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 7 = 252
Therefore, the value for common factors is 252.
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 = 114676878692880/(1x252)
LCM = 114676878692880/252
LCM = 455066978940
Thus, we can understand that the LCM of 941,714,963,420,422 is 455066978940.
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FAQs on LCM of 941, 714, 963, 420, 422
1. What is the LCM of 941, 714, 963, 420, 422?
Answer: LCM of 941, 714, 963, 420, 422 is 455066978940.
2. How to calculate the LCM of 941, 714, 963, 420, 422?
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 941, 714, 963, 420, 422.
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}.