LCM of 971, 836, 986, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 836, 986, 752 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 971, 836, 986, 752. So, keep reading to learn more.
Given numbers are 971,836,986,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,836,986,752 is 75236793104.
Find LCM of 971,836,986,752 with Prime Factorization
| 2 | 971, 836, 986, 752 |
| 2 | 971, 418, 493, 376 |
| 971, 209, 493, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 971 x 209 x 493 x 188 = 75236793104
Therefore, the lowest common multiple of 971,836,986,752 is 75236793104.
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.
971 x 836 x 986 x 752 = 601894344832
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.
971 : 1, 971
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
986 : 1, 2, 17, 29, 34, 58, 493, 986
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,836,986,752, is 1.
Now, the common factors can be found like this.
971:971
836:2x 2x 11x 19
986:2x 17x 29
752:2x 2x 2x 2x 47
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 2 = 8
Therefore, the value for common factors is 8.
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 = 601894344832/(1x8)
LCM = 601894344832/8
LCM = 75236793104
Thus, we can understand that the LCM of 971,836,986,752 is 75236793104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 971, 836, 986, 752
1. What is the LCM of 971, 836, 986, 752?
Answer: LCM of 971, 836, 986, 752 is 75236793104.
2. How to calculate the LCM of 971, 836, 986, 752?
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 971, 836, 986, 752.
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}.