LCM of 276, 430, 489, 644, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 430, 489, 644, 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 276, 430, 489, 644, 742. So, keep reading to learn more.
Given numbers are 276,430,489,644,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,430,489,644,742 is 3588467820.
Find LCM of 276,430,489,644,742 with Prime Factorization
| 2 | 276, 430, 489, 644, 742 |
| 2 | 138, 215, 489, 322, 371 |
| 3 | 69, 215, 489, 161, 371 |
| 7 | 23, 215, 163, 161, 371 |
| 23 | 23, 215, 163, 23, 53 |
| 1, 215, 163, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 1 x 215 x 163 x 1 x 53 = 3588467820
Therefore, the lowest common multiple of 276,430,489,644,742 is 3588467820.
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.
276 x 430 x 489 x 644 x 742 = 27731679312960
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
430 : 1, 2, 5, 10, 43, 86, 215, 430
489 : 1, 3, 163, 489
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 276,430,489,644,742, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
430:2x 5x 43
489:3x 163
644:2x 2x 7x 23
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 3x 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 27731679312960/(1x7728)
LCM = 27731679312960/7728
LCM = 3588467820
Thus, we can understand that the LCM of 276,430,489,644,742 is 3588467820.
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FAQs on LCM of 276, 430, 489, 644, 742
1. What is the LCM of 276, 430, 489, 644, 742?
Answer: LCM of 276, 430, 489, 644, 742 is 3588467820.
2. How to calculate the LCM of 276, 430, 489, 644, 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 276, 430, 489, 644, 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}.