LCM of 742, 540, 754, 711, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 540, 754, 711, 897 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 742, 540, 754, 711, 897. So, keep reading to learn more.
Given numbers are 742,540,754,711,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,540,754,711,897 is 137234703060.
Find LCM of 742,540,754,711,897 with Prime Factorization
| 2 | 742, 540, 754, 711, 897 |
| 3 | 371, 270, 377, 711, 897 |
| 3 | 371, 90, 377, 237, 299 |
| 13 | 371, 30, 377, 79, 299 |
| 371, 30, 29, 79, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 371 x 30 x 29 x 79 x 23 = 137234703060
Therefore, the lowest common multiple of 742,540,754,711,897 is 137234703060.
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.
742 x 540 x 754 x 711 x 897 = 192677523096240
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
754 : 1, 2, 13, 26, 29, 58, 377, 754
711 : 1, 3, 9, 79, 237, 711
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,540,754,711,897, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
540:2x 2x 3x 3x 3x 5
754:2x 13x 29
711:3x 3x 79
897:3x 13x 23
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 3x 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 192677523096240/(1x1404)
LCM = 192677523096240/1404
LCM = 137234703060
Thus, we can understand that the LCM of 742,540,754,711,897 is 137234703060.
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FAQs on LCM of 742, 540, 754, 711, 897
1. What is the LCM of 742, 540, 754, 711, 897?
Answer: LCM of 742, 540, 754, 711, 897 is 137234703060.
2. How to calculate the LCM of 742, 540, 754, 711, 897?
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 742, 540, 754, 711, 897.
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}.