LCM of 966, 259, 982, 407, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 259, 982, 407, 371 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 966, 259, 982, 407, 371. So, keep reading to learn more.
Given numbers are 966,259,982,407,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,259,982,407,371 is 10231254726.
Find LCM of 966,259,982,407,371 with Prime Factorization
| 2 | 966, 259, 982, 407, 371 |
| 7 | 483, 259, 491, 407, 371 |
| 37 | 69, 37, 491, 407, 53 |
| 69, 1, 491, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 69 x 1 x 491 x 11 x 53 = 10231254726
Therefore, the lowest common multiple of 966,259,982,407,371 is 10231254726.
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.
966 x 259 x 982 x 407 x 371 = 37098529636476
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
259 : 1, 7, 37, 259
982 : 1, 2, 491, 982
407 : 1, 11, 37, 407
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,259,982,407,371, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
259:7x 37
982:2x 491
407:11x 37
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 37 = 3626
Therefore, the value for common factors is 3626.
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 = 37098529636476/(1x3626)
LCM = 37098529636476/3626
LCM = 10231254726
Thus, we can understand that the LCM of 966,259,982,407,371 is 10231254726.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 259, 982, 407, 371
1. What is the LCM of 966, 259, 982, 407, 371?
Answer: LCM of 966, 259, 982, 407, 371 is 10231254726.
2. How to calculate the LCM of 966, 259, 982, 407, 371?
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 966, 259, 982, 407, 371.
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}.