LCM of 742, 323, 966, 314, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 323, 966, 314, 105 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 742, 323, 966, 314, 105. So, keep reading to learn more.
Given numbers are 742,323,966,314,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,323,966,314,105 is 12981508890.
Find LCM of 742,323,966,314,105 with Prime Factorization
| 2 | 742, 323, 966, 314, 105 |
| 3 | 371, 323, 483, 157, 105 |
| 7 | 371, 323, 161, 157, 35 |
| 53, 323, 23, 157, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 323 x 23 x 157 x 5 = 12981508890
Therefore, the lowest common multiple of 742,323,966,314,105 is 12981508890.
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.
742 x 323 x 966 x 314 x 105 = 7633127227320
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
323 : 1, 17, 19, 323
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
314 : 1, 2, 157, 314
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,323,966,314,105, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
323:17x 19
966:2x 3x 7x 23
314:2x 157
105:3x 5x 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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 7633127227320/(1x588)
LCM = 7633127227320/588
LCM = 12981508890
Thus, we can understand that the LCM of 742,323,966,314,105 is 12981508890.
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FAQs on LCM of 742, 323, 966, 314, 105
1. What is the LCM of 742, 323, 966, 314, 105?
Answer: LCM of 742, 323, 966, 314, 105 is 12981508890.
2. How to calculate the LCM of 742, 323, 966, 314, 105?
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 742, 323, 966, 314, 105.
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}.