LCM of 140, 756, 703, 465, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 756, 703, 465, 966 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 140, 756, 703, 465, 966. So, keep reading to learn more.
Given numbers are 140,756,703,465,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,756,703,465,966 is 1894683420.
Find LCM of 140,756,703,465,966 with Prime Factorization
| 2 | 140, 756, 703, 465, 966 |
| 2 | 70, 378, 703, 465, 483 |
| 3 | 35, 189, 703, 465, 483 |
| 5 | 35, 63, 703, 155, 161 |
| 7 | 7, 63, 703, 31, 161 |
| 1, 9, 703, 31, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 9 x 703 x 31 x 23 = 1894683420
Therefore, the lowest common multiple of 140,756,703,465,966 is 1894683420.
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.
140 x 756 x 703 x 465 x 966 = 33422215528800
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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
703 : 1, 19, 37, 703
465 : 1, 3, 5, 15, 31, 93, 155, 465
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,756,703,465,966, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
756:2x 2x 3x 3x 3x 7
703:19x 37
465:3x 5x 31
966:2x 3x 7x 23
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 2x 3x 3x 5x 7x 7 = 17640
Therefore, the value for common factors is 17640.
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 = 33422215528800/(1x17640)
LCM = 33422215528800/17640
LCM = 1894683420
Thus, we can understand that the LCM of 140,756,703,465,966 is 1894683420.
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FAQs on LCM of 140, 756, 703, 465, 966
1. What is the LCM of 140, 756, 703, 465, 966?
Answer: LCM of 140, 756, 703, 465, 966 is 1894683420.
2. How to calculate the LCM of 140, 756, 703, 465, 966?
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 140, 756, 703, 465, 966.
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}.