LCM of 714, 361, 864, 680, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 361, 864, 680, 567 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 714, 361, 864, 680, 567. So, keep reading to learn more.
Given numbers are 714,361,864,680,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,361,864,680,567 is 556748640.
Find LCM of 714,361,864,680,567 with Prime Factorization
| 2 | 714, 361, 864, 680, 567 |
| 2 | 357, 361, 432, 340, 567 |
| 2 | 357, 361, 216, 170, 567 |
| 3 | 357, 361, 108, 85, 567 |
| 3 | 119, 361, 36, 85, 189 |
| 3 | 119, 361, 12, 85, 63 |
| 7 | 119, 361, 4, 85, 21 |
| 17 | 17, 361, 4, 85, 3 |
| 1, 361, 4, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 1 x 361 x 4 x 5 x 3 = 556748640
Therefore, the lowest common multiple of 714,361,864,680,567 is 556748640.
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.
714 x 361 x 864 x 680 x 567 = 85864002255360
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
361 : 1, 19, 361
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,361,864,680,567, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
361:19x 19
864:2x 2x 2x 2x 2x 3x 3x 3
680:2x 2x 2x 5x 17
567:3x 3x 3x 3x 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 2x 2x 3x 3x 3x 3x 7x 17 = 154224
Therefore, the value for common factors is 154224.
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 = 85864002255360/(1x154224)
LCM = 85864002255360/154224
LCM = 556748640
Thus, we can understand that the LCM of 714,361,864,680,567 is 556748640.
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FAQs on LCM of 714, 361, 864, 680, 567
1. What is the LCM of 714, 361, 864, 680, 567?
Answer: LCM of 714, 361, 864, 680, 567 is 556748640.
2. How to calculate the LCM of 714, 361, 864, 680, 567?
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 714, 361, 864, 680, 567.
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}.