LCM of 966, 735, 766, 309, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 735, 766, 309, 234 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, 735, 766, 309, 234. So, keep reading to learn more.
Given numbers are 966,735,766,309,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,735,766,309,234 is 52017056910.
Find LCM of 966,735,766,309,234 with Prime Factorization
| 2 | 966, 735, 766, 309, 234 |
| 3 | 483, 735, 383, 309, 117 |
| 7 | 161, 245, 383, 103, 39 |
| 23, 35, 383, 103, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 35 x 383 x 103 x 39 = 52017056910
Therefore, the lowest common multiple of 966,735,766,309,234 is 52017056910.
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 735 x 766 x 309 x 234 = 39324895023960
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
766 : 1, 2, 383, 766
309 : 1, 3, 103, 309
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,735,766,309,234, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
735:3x 5x 7x 7
766:2x 383
309:3x 103
234:2x 3x 3x 13
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 39324895023960/(1x756)
LCM = 39324895023960/756
LCM = 52017056910
Thus, we can understand that the LCM of 966,735,766,309,234 is 52017056910.
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FAQs on LCM of 966, 735, 766, 309, 234
1. What is the LCM of 966, 735, 766, 309, 234?
Answer: LCM of 966, 735, 766, 309, 234 is 52017056910.
2. How to calculate the LCM of 966, 735, 766, 309, 234?
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, 735, 766, 309, 234.
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}.