LCM of 742, 689, 740, 385, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 689, 740, 385, 797 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, 689, 740, 385, 797. So, keep reading to learn more.
Given numbers are 742,689,740,385,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,689,740,385,797 is 31289598340.
Find LCM of 742,689,740,385,797 with Prime Factorization
| 2 | 742, 689, 740, 385, 797 |
| 5 | 371, 689, 370, 385, 797 |
| 7 | 371, 689, 74, 77, 797 |
| 53 | 53, 689, 74, 11, 797 |
| 1, 13, 74, 11, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 53 x 1 x 13 x 74 x 11 x 797 = 31289598340
Therefore, the lowest common multiple of 742,689,740,385,797 is 31289598340.
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 689 x 740 x 385 x 797 = 116084409841400
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
689 : 1, 13, 53, 689
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
385 : 1, 5, 7, 11, 35, 55, 77, 385
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,689,740,385,797, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
689:13x 53
740:2x 2x 5x 37
385:5x 7x 11
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 53 = 3710
Therefore, the value for common factors is 3710.
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 = 116084409841400/(1x3710)
LCM = 116084409841400/3710
LCM = 31289598340
Thus, we can understand that the LCM of 742,689,740,385,797 is 31289598340.
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FAQs on LCM of 742, 689, 740, 385, 797
1. What is the LCM of 742, 689, 740, 385, 797?
Answer: LCM of 742, 689, 740, 385, 797 is 31289598340.
2. How to calculate the LCM of 742, 689, 740, 385, 797?
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, 689, 740, 385, 797.
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}.