LCM of 966, 951, 782, 121, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 951, 782, 121, 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 966, 951, 782, 121, 756. So, keep reading to learn more.
Given numbers are 966,951,782,121,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,951,782,121,756 is 11338175772.
Find LCM of 966,951,782,121,756 with Prime Factorization
| 2 | 966, 951, 782, 121, 756 |
| 3 | 483, 951, 391, 121, 378 |
| 7 | 161, 317, 391, 121, 126 |
| 23 | 23, 317, 391, 121, 18 |
| 1, 317, 17, 121, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 1 x 317 x 17 x 121 x 18 = 11338175772
Therefore, the lowest common multiple of 966,951,782,121,756 is 11338175772.
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 951 x 782 x 121 x 756 = 65716066774512
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
951 : 1, 3, 317, 951
782 : 1, 2, 17, 23, 34, 46, 391, 782
121 : 1, 11, 121
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 966,951,782,121,756, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
951:3x 317
782:2x 17x 23
121:11x 11
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 3x 3x 7x 23 = 5796
Therefore, the value for common factors is 5796.
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 = 65716066774512/(1x5796)
LCM = 65716066774512/5796
LCM = 11338175772
Thus, we can understand that the LCM of 966,951,782,121,756 is 11338175772.
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FAQs on LCM of 966, 951, 782, 121, 756
1. What is the LCM of 966, 951, 782, 121, 756?
Answer: LCM of 966, 951, 782, 121, 756 is 11338175772.
2. How to calculate the LCM of 966, 951, 782, 121, 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 966, 951, 782, 121, 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}.