LCM of 830, 552, 276, 768, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 552, 276, 768, 728 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 830, 552, 276, 768, 728. So, keep reading to learn more.
Given numbers are 830,552,276,768,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,552,276,768,728 is 667080960.
Find LCM of 830,552,276,768,728 with Prime Factorization
| 2 | 830, 552, 276, 768, 728 |
| 2 | 415, 276, 138, 384, 364 |
| 2 | 415, 69, 138, 192, 182 |
| 3 | 415, 69, 69, 96, 91 |
| 23 | 415, 23, 23, 32, 91 |
| 415, 1, 1, 32, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 415 x 1 x 1 x 32 x 91 = 667080960
Therefore, the lowest common multiple of 830,552,276,768,728 is 667080960.
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.
830 x 552 x 276 x 768 x 728 = 70699908464640
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,552,276,768,728, is 2.
Now, the common factors can be found like this.
830:2x 5x 83
552:2x 2x 2x 3x 23
276:2x 2x 3x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
728:2x 2x 2x 7x 13
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 2x 2x 3x 3x 23 = 52992
Therefore, the value for common factors is 52992.
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 = 70699908464640/(2x52992)
LCM = 70699908464640/105984
LCM = 667080960
Thus, we can understand that the LCM of 830,552,276,768,728 is 667080960.
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FAQs on LCM of 830, 552, 276, 768, 728
1. What is the LCM of 830, 552, 276, 768, 728?
Answer: LCM of 830, 552, 276, 768, 728 is 667080960.
2. How to calculate the LCM of 830, 552, 276, 768, 728?
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 830, 552, 276, 768, 728.
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}.