LCM of 656, 916, 287, 616, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 656, 916, 287, 616, 742 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 656, 916, 287, 616, 742. So, keep reading to learn more.
Given numbers are 656,916,287,616,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 656,916,287,616,742 is 613064144.
Find LCM of 656,916,287,616,742 with Prime Factorization
| 2 | 656, 916, 287, 616, 742 |
| 2 | 328, 458, 287, 308, 371 |
| 2 | 164, 229, 287, 154, 371 |
| 7 | 82, 229, 287, 77, 371 |
| 41 | 82, 229, 41, 11, 53 |
| 2, 229, 1, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 41 x 2 x 229 x 1 x 11 x 53 = 613064144
Therefore, the lowest common multiple of 656,916,287,616,742 is 613064144.
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.
656 x 916 x 287 x 616 x 742 = 78825335378944
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.
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
916 : 1, 2, 4, 229, 458, 916
287 : 1, 7, 41, 287
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,916,287,616,742, is 1.
Now, the common factors can be found like this.
656:2x 2x 2x 2x 41
916:2x 2x 229
287:7x 41
616:2x 2x 2x 7x 11
742:2x 7x 53
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 2x 2x 2x 7x 7x 41 = 128576
Therefore, the value for common factors is 128576.
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 = 78825335378944/(1x128576)
LCM = 78825335378944/128576
LCM = 613064144
Thus, we can understand that the LCM of 656,916,287,616,742 is 613064144.
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FAQs on LCM of 656, 916, 287, 616, 742
1. What is the LCM of 656, 916, 287, 616, 742?
Answer: LCM of 656, 916, 287, 616, 742 is 613064144.
2. How to calculate the LCM of 656, 916, 287, 616, 742?
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 656, 916, 287, 616, 742.
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}.