LCM of 762, 585, 723, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 585, 723, 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 762, 585, 723, 312. So, keep reading to learn more.
Given numbers are 762,585,723,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,585,723,312 is 143240760.
Find LCM of 762,585,723,312 with Prime Factorization
| 2 | 762, 585, 723, 312 |
| 3 | 381, 585, 723, 156 |
| 13 | 127, 195, 241, 52 |
| 127, 15, 241, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 127 x 15 x 241 x 4 = 143240760
Therefore, the lowest common multiple of 762,585,723,312 is 143240760.
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.
762 x 585 x 723 x 312 = 100555013520
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
723 : 1, 3, 241, 723
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,585,723,312, is 3.
Now, the common factors can be found like this.
762:2x 3x 127
585:3x 3x 5x 13
723:3x 241
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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 100555013520/(3x234)
LCM = 100555013520/702
LCM = 143240760
Thus, we can understand that the LCM of 762,585,723,312 is 143240760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 585, 723, 312
1. What is the LCM of 762, 585, 723, 312?
Answer: LCM of 762, 585, 723, 312 is 143240760.
2. How to calculate the LCM of 762, 585, 723, 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 762, 585, 723, 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}.