LCM of 770, 324, 614, 334, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 324, 614, 334, 714 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 770, 324, 614, 334, 714. So, keep reading to learn more.
Given numbers are 770,324,614,334,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,324,614,334,714 is 108720016020.
Find LCM of 770,324,614,334,714 with Prime Factorization
| 2 | 770, 324, 614, 334, 714 |
| 3 | 385, 162, 307, 167, 357 |
| 7 | 385, 54, 307, 167, 119 |
| 55, 54, 307, 167, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 55 x 54 x 307 x 167 x 17 = 108720016020
Therefore, the lowest common multiple of 770,324,614,334,714 is 108720016020.
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.
770 x 324 x 614 x 334 x 714 = 36529925382720
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
614 : 1, 2, 307, 614
334 : 1, 2, 167, 334
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,324,614,334,714, is 2.
Now, the common factors can be found like this.
770:2x 5x 7x 11
324:2x 2x 3x 3x 3x 3
614:2x 307
334:2x 167
714:2x 3x 7x 17
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 36529925382720/(2x168)
LCM = 36529925382720/336
LCM = 108720016020
Thus, we can understand that the LCM of 770,324,614,334,714 is 108720016020.
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FAQs on LCM of 770, 324, 614, 334, 714
1. What is the LCM of 770, 324, 614, 334, 714?
Answer: LCM of 770, 324, 614, 334, 714 is 108720016020.
2. How to calculate the LCM of 770, 324, 614, 334, 714?
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 770, 324, 614, 334, 714.
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}.