LCM of 962, 754, 240, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 754, 240, 312 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 962, 754, 240, 312. So, keep reading to learn more.
Given numbers are 962,754,240,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,754,240,312 is 3347760.
Find LCM of 962,754,240,312 with Prime Factorization
| 2 | 962, 754, 240, 312 |
| 2 | 481, 377, 120, 156 |
| 2 | 481, 377, 60, 78 |
| 3 | 481, 377, 30, 39 |
| 13 | 481, 377, 10, 13 |
| 37, 29, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 37 x 29 x 10 x 1 = 3347760
Therefore, the lowest common multiple of 962,754,240,312 is 3347760.
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.
962 x 754 x 240 x 312 = 54314058240
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
754 : 1, 2, 13, 26, 29, 58, 377, 754
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,754,240,312, is 2.
Now, the common factors can be found like this.
962:2x 13x 37
754:2x 13x 29
240:2x 2x 2x 2x 3x 5
312:2x 2x 2x 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 2x 2x 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 54314058240/(2x8112)
LCM = 54314058240/16224
LCM = 3347760
Thus, we can understand that the LCM of 962,754,240,312 is 3347760.
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FAQs on LCM of 962, 754, 240, 312
1. What is the LCM of 962, 754, 240, 312?
Answer: LCM of 962, 754, 240, 312 is 3347760.
2. How to calculate the LCM of 962, 754, 240, 312?
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 962, 754, 240, 312.
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}.