LCM of 596, 828, 897, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 828, 897, 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 596, 828, 897, 714. So, keep reading to learn more.
Given numbers are 596,828,897,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,828,897,714 is 190856484.
Find LCM of 596,828,897,714 with Prime Factorization
| 2 | 596, 828, 897, 714 |
| 2 | 298, 414, 897, 357 |
| 3 | 149, 207, 897, 357 |
| 23 | 149, 69, 299, 119 |
| 149, 3, 13, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 149 x 3 x 13 x 119 = 190856484
Therefore, the lowest common multiple of 596,828,897,714 is 190856484.
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.
596 x 828 x 897 x 714 = 316058337504
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.
596 : 1, 2, 4, 149, 298, 596
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
897 : 1, 3, 13, 23, 39, 69, 299, 897
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 596,828,897,714, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
828:2x 2x 3x 3x 23
897:3x 13x 23
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 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 316058337504/(1x1656)
LCM = 316058337504/1656
LCM = 190856484
Thus, we can understand that the LCM of 596,828,897,714 is 190856484.
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FAQs on LCM of 596, 828, 897, 714
1. What is the LCM of 596, 828, 897, 714?
Answer: LCM of 596, 828, 897, 714 is 190856484.
2. How to calculate the LCM of 596, 828, 897, 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 596, 828, 897, 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}.