LCM of 646, 240, 714, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 240, 714, 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 646, 240, 714, 312. So, keep reading to learn more.
Given numbers are 646,240,714,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,240,714,312 is 7054320.
Find LCM of 646,240,714,312 with Prime Factorization
| 2 | 646, 240, 714, 312 |
| 2 | 323, 120, 357, 156 |
| 2 | 323, 60, 357, 78 |
| 3 | 323, 30, 357, 39 |
| 17 | 323, 10, 119, 13 |
| 19, 10, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 19 x 10 x 7 x 13 = 7054320
Therefore, the lowest common multiple of 646,240,714,312 is 7054320.
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.
646 x 240 x 714 x 312 = 34537950720
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
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 646,240,714,312, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
240:2x 2x 2x 2x 3x 5
714:2x 3x 7x 17
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 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 34537950720/(2x2448)
LCM = 34537950720/4896
LCM = 7054320
Thus, we can understand that the LCM of 646,240,714,312 is 7054320.
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FAQs on LCM of 646, 240, 714, 312
1. What is the LCM of 646, 240, 714, 312?
Answer: LCM of 646, 240, 714, 312 is 7054320.
2. How to calculate the LCM of 646, 240, 714, 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 646, 240, 714, 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}.