LCM of 327, 813, 149, 738, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 813, 149, 738, 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 327, 813, 149, 738, 714. So, keep reading to learn more.
Given numbers are 327,813,149,738,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,813,149,738,714 is 386531934642.
Find LCM of 327,813,149,738,714 with Prime Factorization
| 2 | 327, 813, 149, 738, 714 |
| 3 | 327, 813, 149, 369, 357 |
| 109, 271, 149, 123, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 271 x 149 x 123 x 119 = 386531934642
Therefore, the lowest common multiple of 327,813,149,738,714 is 386531934642.
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.
327 x 813 x 149 x 738 x 714 = 20872724470668
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.
327 : 1, 3, 109, 327
813 : 1, 3, 271, 813
149 : 1, 149
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,813,149,738,714, is 1.
Now, the common factors can be found like this.
327:3x 109
813:3x 271
149:149
738:2x 3x 3x 41
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 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 20872724470668/(1x54)
LCM = 20872724470668/54
LCM = 386531934642
Thus, we can understand that the LCM of 327,813,149,738,714 is 386531934642.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 813, 149, 738, 714
1. What is the LCM of 327, 813, 149, 738, 714?
Answer: LCM of 327, 813, 149, 738, 714 is 386531934642.
2. How to calculate the LCM of 327, 813, 149, 738, 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 327, 813, 149, 738, 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}.